4009632367104 has 960 divisors, whose sum is σ = 15342346027008. Its totient is φ = 978805555200.

The previous prime is 4009632367079. The next prime is 4009632367133. The reversal of 4009632367104 is 4017632369004.

4009632367104 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 632 + 3 + 6 + 7 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4009632367104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298974159 + ... + 298987569.

Almost surely, 2^{4009632367104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4009632367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7671173013504).

4009632367104 is an abundant number, since it is smaller than the sum of its proper divisors (11332713659904).

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

4009632367104 is a wasteful number, since it uses less digits than its factorization.

4009632367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13509 (or 13490 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 4009632367104 in words is "four trillion, nine billion, six hundred thirty-two million, three hundred sixty-seven thousand, one hundred four".