Special group of drugs called COX2 Inhibitors have been associated with heart problems and have therefore been banned and should not be taken. In general, painkillers are harmful not only to the heart and the intestinal tract but also to the kidneys and their over usage is strongly discouraged.
Being a computer specialist, you should take other simple measures like adopting a comfortable posture, using proper furniture specially chair with lumbar (back) support maintaining adequate lighting, frequently taking the eyes off the computer screen and looking at distant objects and neck muscle and back exercises to prevent pain. However, should a painkiller be required, I think the safest is Paracetamol tablet. I hope I have answered your queries to your satisfaction. However, if you have any further doubts please feel free to contact us.