"4:44" is the only album in Jay-Z's legendary discography that has been nominated for album of the year. (It lost to "24K Magic" by Bruno Mars in 2018.)
Jay-Z himself has been up for the award five other times as a contributor or producer on other people's albums ("Tha Carter III," "Good Kid, M.A.A.D City," "Beyoncé," "Donda," and "Renaissance"), but he didn't win any of those, either.