400084444800 has 192 divisors, whose sum is σ = 1464198249600. Its totient is φ = 106689162240.

The previous prime is 400084444789. The next prime is 400084444843. The reversal of 400084444800 is 8444480004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 2228904 + ... + 2401703.

It is an arithmetic number, because the mean of its divisors is an integer number (7626032550).

Almost surely, 2^400084444800 is an apocalyptic number.

400084444800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400084444800 is an abundant number, since it is smaller than the sum of its proper divisors (1064113804800).

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

400084444800 is a wasteful number, since it uses less digits than its factorization.

400084444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630640 (or 4630617 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 400084444800 in words is "four hundred billion, eighty-four million, four hundred forty-four thousand, eight hundred".