412886025216 has 880 divisors, whose sum is σ = 1519411132800. Its totient is φ = 108992397312.

The previous prime is 412886025197. The next prime is 412886025221. The reversal of 412886025216 is 612520688214.

412886025216 is a `hidden beast` number, since 4 + 1 + 28 + 8 + 602 + 5 + 2 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 582349470 + ... + 582350178.

It is an arithmetic number, because the mean of its divisors is an integer number (1726603560).

Almost surely, 2^412886025216 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 412886025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759705566400).

412886025216 is an abundant number, since it is smaller than the sum of its proper divisors (1106525107584).

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

412886025216 is a wasteful number, since it uses less digits than its factorization.

412886025216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 412886025216 in words is "four hundred twelve billion, eight hundred eighty-six million, twenty-five thousand, two hundred sixteen".