801407408004 has 96 divisors (see below), whose sum is σ = 2477781411840. Its totient is φ = 219018168864.

The previous prime is 801407407991. The next prime is 801407408017. The reversal of 801407408004 is 400804704108.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (801407407991) and next prime (801407408017).

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 801407408004.

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, 23027454 + ... + 23062229.

It is an arithmetic number, because the mean of its divisors is an integer number (25810223040).

Almost surely, 2^801407408004 is an apocalyptic number.

801407408004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

801407408004 is an abundant number, since it is smaller than the sum of its proper divisors (1676374003836).

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

801407408004 is a wasteful number, since it uses less digits than its factorization.

801407408004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46089726 (or 46089718 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 801407408004 in words is "eight hundred one billion, four hundred seven million, four hundred eight thousand, four".