404040884000 has 96 divisors (see below), whose sum is σ = 1069092316656. Its totient is φ = 149184307200.

The previous prime is 404040883979. The next prime is 404040884017. The reversal of 404040884000 is 488040404.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24225054736 + 379815829264 = 155644^2 + 616292^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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, 3833009 + ... + 3937008.

Almost surely, 2^404040884000 is an apocalyptic number.

404040884000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404040884000 is an abundant number, since it is smaller than the sum of its proper divisors (665051432656).

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

404040884000 is a wasteful number, since it uses less digits than its factorization.

404040884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770055 (or 7770037 counting only the distinct ones).

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

The spelling of 404040884000 in words is "four hundred four billion, forty million, eight hundred eighty-four thousand".