404274516912 has 320 divisors, whose sum is σ = 1406699965440. Its totient is φ = 108519174144.

The previous prime is 404274516853. The next prime is 404274516941. The reversal of 404274516912 is 219615472404.

404274516912 is a `hidden beast` number, since 4 + 0 + 42 + 7 + 4 + 516 + 91 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30169798 + ... + 30183194.

It is an arithmetic number, because the mean of its divisors is an integer number (4395937392).

Almost surely, 2^404274516912 is an apocalyptic number.

404274516912 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 404274516912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703349982720).

404274516912 is an abundant number, since it is smaller than the sum of its proper divisors (1002425448528).

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

404274516912 is a wasteful number, since it uses less digits than its factorization.

404274516912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025 (or 14013 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 404274516912 in words is "four hundred four billion, two hundred seventy-four million, five hundred sixteen thousand, nine hundred twelve".