404055633960 has 480 divisors, whose sum is σ = 1502156668320. Its totient is φ = 97336546560.

The previous prime is 404055633953. The next prime is 404055634009. The reversal of 404055633960 is 69336550404.

404055633960 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 5 + 5 + 633 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63899359 + ... + 63905681.

It is an arithmetic number, because the mean of its divisors is an integer number (3129493059).

Almost surely, 2^404055633960 is an apocalyptic number.

404055633960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404055633960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751078334160).

404055633960 is an abundant number, since it is smaller than the sum of its proper divisors (1098101034360).

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

404055633960 is a wasteful number, since it uses less digits than its factorization.

404055633960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 404055633960 in words is "four hundred four billion, fifty-five million, six hundred thirty-three thousand, nine hundred sixty".