413976805632 has 432 divisors, whose sum is σ = 1360879665600. Its totient is φ = 119976837120.

The previous prime is 413976805621. The next prime is 413976805633. The reversal of 413976805632 is 236508679314.

413976805632 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 76 + 8 + 0 + 563 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (413976805633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103002919 + ... + 103006937.

It is a 1-persistent number, because it is pandigital, but 2⋅413976805632 = 827953611264 is not.

Almost surely, 2^413976805632 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 413976805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680439832800).

413976805632 is an abundant number, since it is smaller than the sum of its proper divisors (946902859968).

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

413976805632 is a wasteful number, since it uses less digits than its factorization.

413976805632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 413976805632 in words is "four hundred thirteen billion, nine hundred seventy-six million, eight hundred five thousand, six hundred thirty-two".