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Yes, Pizza Hut pizza does need to be refrigerated. I recommend you put leftovers in the fridge no later than 3 hours.
Any longer than this and you run the risk of bacteria growing. I’ve personally eaten pizza left out much longer and never had a problem. I think its just best practice not to try it.
You should also consider freezing the pizza if you are not going to get around to eating it from the refrigerator within a few days.
Then just use an oven to reheat it and regain the crispy curst and original yummy flavors.
Or you can simply order a new pizza for the best freshness. In fact, you can get a prepaid card to pay for it through the link in the image below.