8040408000804 has 36 divisors (see below), whose sum is σ = 20533894210284. Its totient is φ = 2652505731072.

The previous prime is 8040408000803. The next prime is 8040408000817. The reversal of 8040408000804 is 4080008040408.

It can be written as a sum of positive squares in 2 ways, for example, as 6684044963904 + 1356363036900 = 2585352^2 + 1164630^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (8040408000803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1151257677 + ... + 1151264660.

Almost surely, 2^{8040408000804} is an apocalyptic number.

It is an amenable number.

8040408000804 is an abundant number, since it is smaller than the sum of its proper divisors (12493486209480).

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

8040408000804 is a wasteful number, since it uses less digits than its factorization.

8040408000804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302522444 (or 2302522439 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 8040408000804 in words is "eight trillion, forty billion, four hundred eight million, eight hundred four", and thus it is an aban number.