404904960000 has 1120 divisors, whose sum is σ = 1566123055200. Its totient is φ = 103219200000.

The previous prime is 404904959959. The next prime is 404904960001. The reversal of 404904960000 is 69409404.

404904960000 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 0 + 49 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404904960001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4008959950 + ... + 4008960050.

Almost surely, 2^404904960000 is an apocalyptic number.

404904960000 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 404904960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783061527600).

404904960000 is an abundant number, since it is smaller than the sum of its proper divisors (1161218095200).

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

404904960000 is an equidigital number, since it uses as much as digits as its factorization.

404904960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 404904960000 in words is "four hundred four billion, nine hundred four million, nine hundred sixty thousand".