Chosen Solution
I’ve checked for dust and opened the console but didn’t see any. When it starts to get hot the screen just flashes on and off going faster each time. The cooling fan doesn’t even speed up at all when is so hot. Also the console never turns its self off.
My ps4 was super loud. I discovered that the apu only had paste on one half. Repasted, stopped overheating, nice and quiet. But you are saying your machine won’t power off? Sounds like it’s stuck in “rest mode”. Another possibility might be a faulty psu. Good luck.
ps4 needs a good dust cleaning and fresh thermal paste on the APU chip. I believe i have some videos on my Facebook page regarding this issue https://www.facebook.com/Spitfiyacustomz. I also offer a repair service if you’re interested. https://www.ebay.com/itm/193709602985