412196809925520 has 640 divisors, whose sum is σ = 1517960987136000. Its totient is φ = 102581031813120.

The previous prime is 412196809925501. The next prime is 412196809925533. The reversal of 412196809925520 is 25529908691214.

412196809925520 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 9 + 6 + 80 + 9 + 9 + 25 + 520 = 666.

It is a super-3 number, since 3×412196809925520³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1609657332 + ... + 1609913388.

It is an arithmetic number, because the mean of its divisors is an integer number (2371814042400).

Almost surely, 2^{412196809925520} is an apocalyptic number.

412196809925520 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 412196809925520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758980493568000).

412196809925520 is an abundant number, since it is smaller than the sum of its proper divisors (1105764177210480).

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

412196809925520 is a wasteful number, since it uses less digits than its factorization.

412196809925520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256968 (or 256956 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 412196809925520 in words is "four hundred twelve trillion, one hundred ninety-six billion, eight hundred nine million, nine hundred twenty-five thousand, five hundred twenty".