max size of Hard Disk to hook to box

Hi all , new member here , I was using a “WD live hub” before , to Watch my pictures and small movies.
now using the new Android box , got Kodi 16.1 Jarvis installed already.
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I have a question , when hooking up a new hard disk via a usb port ,
is there a size limit , like 2To ,( the WD live hub could not take more than 2 To hard disk)
now days the stores sell “4 To hard disks” , could I hook that bigger size HD to the
Android box , or would it just look in there and be confused and lag forever ?
. Thanks for any answer , I got no result with a quick search , using search button .