How long can eggs be cold and still hatch?

I'm curious to know, just how long can an egg be kept in cold storage and still have the potential to hatch into a healthy chick? I understand that temperature is crucial for embryonic development, but are there any specific guidelines or best practices when it comes to the duration of cold storage for fertile eggs? Additionally, are there any notable differences in the hatch rate or chick health between eggs that have been stored for shorter or longer periods of time in the refrigerator?