8008404004040 has 64 divisors (see below), whose sum is σ = 19658423554560. Its totient is φ = 2911934776320.

The previous prime is 8008404004033. The next prime is 8008404004049. The reversal of 8008404004040 is 404004048008.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8008404003988 and 8008404004006.

It is not an unprimeable number, because it can be changed into a prime (8008404004049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5448137 + ... + 6760103.

It is an arithmetic number, because the mean of its divisors is an integer number (307162868040).

Almost surely, 2^{8008404004040} is an apocalyptic number.

It is an amenable number.

8008404004040 is an abundant number, since it is smaller than the sum of its proper divisors (11650019550520).

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

8008404004040 is a wasteful number, since it uses less digits than its factorization.

8008404004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325862 (or 1325858 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 8008404004040 in words is "eight trillion, eight billion, four hundred four million, four thousand, forty".