4080000800400 has 120 divisors (see below), whose sum is σ = 14936688675264. Its totient is φ = 932571609600.

The previous prime is 4080000800383. The next prime is 4080000800413. The reversal of 4080000800400 is 40080000804.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242848791 + ... + 242865590.

Almost surely, 2^{4080000800400} is an apocalyptic number.

4080000800400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4080000800400 is an abundant number, since it is smaller than the sum of its proper divisors (10856687874864).

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

4080000800400 is a wasteful number, since it uses less digits than its factorization.

4080000800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485714409 (or 485714398 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 4080000800400 in words is "four trillion, eighty billion, eight hundred thousand, four hundred".