412765949952 has 208 divisors, whose sum is σ = 1229326248960. Its totient is φ = 136861286400.

The previous prime is 412765949917. The next prime is 412765949971. The reversal of 412765949952 is 259949567214.

412765949952 is a `hidden beast` number, since 41 + 2 + 7 + 6 + 59 + 499 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 412765949952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21113302 + ... + 21132842.

Almost surely, 2^412765949952 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 412765949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614663124480).

412765949952 is an abundant number, since it is smaller than the sum of its proper divisors (816560299008).

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

412765949952 is a wasteful number, since it uses less digits than its factorization.

412765949952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19765 (or 19737 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 412765949952 in words is "four hundred twelve billion, seven hundred sixty-five million, nine hundred forty-nine thousand, nine hundred fifty-two".