412517685504 has 432 divisors, whose sum is σ = 1181337550848. Its totient is φ = 127711567872.

The previous prime is 412517685499. The next prime is 412517685511. The reversal of 412517685504 is 405586715214.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3248170689 + ... + 3248170815.

It is an arithmetic number, because the mean of its divisors is an integer number (2734577664).

Almost surely, 2^412517685504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412517685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590668775424).

412517685504 is an abundant number, since it is smaller than the sum of its proper divisors (768819865344).

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

412517685504 is a wasteful number, since it uses less digits than its factorization.

412517685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 412517685504 in words is "four hundred twelve billion, five hundred seventeen million, six hundred eighty-five thousand, five hundred four".