What is the name of the soundtrack when Madara was absorbing chakra from Hashirama?
It happened on Naruto Shippuden episode 391 Madara Uchiha Rises.
And in this YouTube video 3:23 ~ 3:58.
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Found. It's called "The Allied Shinobi" and should be a part of Naruto Shippuden OST 3.
Below is a sample of the song, not the full thing, and you should notice the same parts as from your link https://www.youtube.com/watch?t=7&v=G_H7hMRc-Nc&feature=youtu.be
To be honest, I do not know the name of the song, but I do have a link to where you can listen to it. This was googled and I do not think there is an actual soundtrack to the song but the link provided is very much the song you have been looking for