Product review (1 stars): Do Not Buy - Electrical Connection Not Correct for Kenmore Elite HE4T model # 110.45992.400
This is not a "plug and play" water drain pump replacement part for a Kenmore Elite HE4T model number 110.45992.400.  However, on the Amazon page it did show this to be the correct part based on this model number.

The specific problem is the wiring connection on the back of the pump (on the magnet).  It does not match to the original part, therefore, you can't plug the wiring harness from your washer into the new part because the connections do not match. I was [however] able to make the part work, by putting the old magnet from the broken impeller on the new impeller that I purchased (giving me the right electrical connection).  Then I had to cut the original plastic housing to make the pieces go back together properly. Ultimately once I did all this custom work and reinstalled the part on my washer the pump did work, and I can do laundry, but clearly this was not an easy plug and play swap to get my washer working again.

This part seems much louder than the original. I've decided if this part doesn't last, next time I'll spend the extra money and buy the entire housing. I would not recommend this part as a fix if you have the same Kenmore model that I listed.  I can't speak for other models, but it is definitely not a "plug and play" for this model.