404883075072 has 208 divisors, whose sum is σ = 1236382304000. Its totient is φ = 115436814336.

The previous prime is 404883075019. The next prime is 404883075101. The reversal of 404883075072 is 270570388404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42917268 + ... + 42926700.

Almost surely, 2^404883075072 is an apocalyptic number.

404883075072 is a gapful number since it is divisible by the number (42) 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 404883075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618191152000).

404883075072 is an abundant number, since it is smaller than the sum of its proper divisors (831499228928).

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

404883075072 is an equidigital number, since it uses as much as digits as its factorization.

404883075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9966 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 404883075072 in words is "four hundred four billion, eight hundred eighty-three million, seventy-five thousand, seventy-two".