8008488080400 has 60 divisors (see below), whose sum is σ = 25653856821392. Its totient is φ = 2135596821120.

The previous prime is 8008488080399. The next prime is 8008488080447. The reversal of 8008488080400 is 40808848008.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8008488080400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3336868834 + ... + 3336871233.

Almost surely, 2^{8008488080400} is an apocalyptic number.

8008488080400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8008488080400 is an abundant number, since it is smaller than the sum of its proper divisors (17645368740992).

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

8008488080400 is a wasteful number, since it uses less digits than its factorization.

8008488080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673740088 (or 6673740077 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 8008488080400 in words is "eight trillion, eight billion, four hundred eighty-eight million, eighty thousand, four hundred".