I've put together these notes as I read about DHT's in depth and then learned how the libtorrent implementation based on the Kademlia paper actually works.
400,000,000,000 (400 billion stars), that's a 4 followed by 11 zeros.
The number of atoms in the universe is estimated to be around 10^82.
A DHT with keys of 160 bits, can have 2^160 possible numbers, which is around 10^48