412990577664 has 528 divisors, whose sum is σ = 1364304211200. Its totient is φ = 110361968640.

The previous prime is 412990577653. The next prime is 412990577707. The reversal of 412990577664 is 466775099214.

It is a super-2 number, since 2×412990577664² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412990577598 and 412990577607.

It is a congruent number.

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, 509235819 + ... + 509236629.

Almost surely, 2^412990577664 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 412990577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682152105600).

412990577664 is an abundant number, since it is smaller than the sum of its proper divisors (951313633536).

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

412990577664 is a wasteful number, since it uses less digits than its factorization.

412990577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 412990577664 in words is "four hundred twelve billion, nine hundred ninety million, five hundred seventy-seven thousand, six hundred sixty-four".