Do angels and jinn die, where are they buried, are prayers performed over them, and what are their ages?

Everyone on Earth is perishable, and only the Face of Allah, the Ever-Living, Who never dies, remains. Both jinn and humans will die. What you asked about regarding their burial places, praying over them, and their ages is among the knowledge that has been withheld from us. A Muslim should strive to learn what impacts their conduct and abandon delving deeply into matters they have not been commanded to know, and in which there is no benefit.