412501218232320 has 2304 divisors, whose sum is σ = 1808951806771200. Its totient is φ = 84807041679360.

The previous prime is 412501218232319. The next prime is 412501218232379. The reversal of 412501218232320 is 23232812105214.

412501218232320 is a `hidden beast` number, since 4 + 1 + 2 + 501 + 21 + 82 + 32 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20138700799 + ... + 20138721281.

It is an arithmetic number, because the mean of its divisors is an integer number (785135332800).

Almost surely, 2^{412501218232320} is an apocalyptic number.

412501218232320 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 412501218232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904475903385600).

412501218232320 is an abundant number, since it is smaller than the sum of its proper divisors (1396450588538880).

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

412501218232320 is a wasteful number, since it uses less digits than its factorization.

412501218232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20626 (or 20603 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 412501218232320 in words is "four hundred twelve trillion, five hundred one billion, two hundred eighteen million, two hundred thirty-two thousand, three hundred twenty".