Is it permissible to make up the prostration of recitation at a later time, and does the reciter say "Ameen" after Al-Fatihah outside of prayer?

Prostration of recitation (Sujud At-Tilawah) is considered a recommended act by the majority of scholars. It should be performed immediately after reciting or hearing an Ayah of prostration. If a long time passes after it, then it is missed and, according to the more probable opinion, it is not to be made up. However, some scholars hold the view that it is obligatory and believe that its performance is not necessarily immediate. As for saying "Ameen" after reciting Al-Fatihah, it is a Sunnah both inside and outside of prayer, according to the four schools of thought.