412404160143360 has 1344 divisors, whose sum is σ = 1662842411338752. Its totient is φ = 85428338688000.

The previous prime is 412404160143337. The next prime is 412404160143389. The reversal of 412404160143360 is 63341061404214.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34450262175 + ... + 34450274145.

It is an arithmetic number, because the mean of its divisors is an integer number (1237233937008).

Almost surely, 2^{412404160143360} is an apocalyptic number.

412404160143360 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 412404160143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831421205669376).

412404160143360 is an abundant number, since it is smaller than the sum of its proper divisors (1250438251195392).

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

412404160143360 is a wasteful number, since it uses less digits than its factorization.

412404160143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12365 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 412404160143360 in words is "four hundred twelve trillion, four hundred four billion, one hundred sixty million, one hundred forty-three thousand, three hundred sixty".