8209104404004 has 96 divisors (see below), whose sum is σ = 25107894067200. Its totient is φ = 2269798446240.

The previous prime is 8209104403991. The next prime is 8209104404021. The reversal of 8209104404004 is 4004044019028.

8209104404004 is a `hidden beast` number, since 8 + 209 + 1 + 0 + 4 + 40 + 400 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8209104404004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175115334 + ... + 175162205.

It is an arithmetic number, because the mean of its divisors is an integer number (261540563200).

Almost surely, 2^{8209104404004} is an apocalyptic number.

8209104404004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8209104404004 is an abundant number, since it is smaller than the sum of its proper divisors (16898789663196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8209104404004 is a wasteful number, since it uses less digits than its factorization.

8209104404004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350277590 (or 350277582 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 8209104404004 in words is "eight trillion, two hundred nine billion, one hundred four million, four hundred four thousand, four".