Ammonia converter comprising a plurality of catalytic beds (C1, C2, C3) for converting an input makeup gas into an ammonia-containing product gas wherein: the catalytic beds (C1, C2, C3) have a cylindrical annular shape delimited by an outer cylindrical wall and an inner cylindrical wall; the catalytic beds (C1, C2, C3) are arranged in a pressure vessel of the converter sequentially from a first catalytic bed to a last catalytic bed according to a path of the gaseous flow from an inlet (GI) to an outlet (GO) of the converter, so that for each pair of consecutive beds the effluent gas of an upstream bed of the pair is further processed in the downstream bed of the pair; the converter includes at least one integrated recovery heat exchanger (RHE) having a first side arranged to be traversed by reacted process gas effluent from at least one of the catalytic beds (C1, C2, C3) and a second side arranged to be traversed by a heat exchange medium which is not a reactive stream directed to any of the catalytic beds (C1, C2, C3) of the converter; the converter includes a respective inter-bed heat exchanger (HE1, HE2) or a quench system operatively placed between each pair of consecutive catalytic beds (C1, C2; C2, C3) contained in the converter so that, for each pair, the inlet temperature of the downstream bed (C2; C3) can be independently controlled; characterized in that: said recovery heat exchanger (RHE) and said inter-bed heat exchanger (HE1) are arranged to be traversed in sequence by the hot process gas effluent from said catalytic bed, so that the effluent of said bed traverses the recovery heat exchanger (RHE) first, and then the inter-bed heat exchanger (HE1). the catalytic beds (C1, C2, C3) have a cylindrical annular shape delimited by an outer cylindrical wall and an inner cylindrical wall; the catalytic beds (C1, C2, C3) are arranged in a pressure vessel of the converter sequentially from a first catalytic bed to a last catalytic bed according to a path of the gaseous flow from an inlet (GI) to an outlet (GO) of the converter, so that for each pair of consecutive beds the effluent gas of an upstream bed of the pair is further processed in the downstream bed of the pair; the converter includes at least one integrated recovery heat exchanger (RHE) having a first side arranged to be traversed by reacted process gas effluent from at least one of the catalytic beds (C1, C2, C3) and a second side arranged to be traversed by a heat exchange medium which is not a reactive stream directed to any of the catalytic beds (C1, C2, C3) of the converter; the converter includes a respective inter-bed heat exchanger (HE1, HE2) or a quench system operatively placed between each pair of consecutive catalytic beds (C1, C2; C2, C3) contained in the converter so that, for each pair, the inlet temperature of the downstream bed (C2; C3) can be independently controlled; characterized in that: said recovery heat exchanger (RHE) and said inter-bed heat exchanger (HE1) are arranged to be traversed in sequence by the hot process gas effluent from said catalytic bed, so that the effluent of said bed traverses the recovery heat exchanger (RHE) first, and then the inter-bed heat exchanger (HE1). <EOS>