413312300032 has 88 divisors (see below), whose sum is σ = 835693809120. Its totient is φ = 204295004160.

The previous prime is 413312299997. The next prime is 413312300057. The reversal of 413312300032 is 230003213314.

It is a junction number, because it is equal to n+sod(n) for n = 413312299976 and 413312300012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55766407 + ... + 55773817.

Almost surely, 2^413312300032 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 413312300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417846904560).

413312300032 is an abundant number, since it is smaller than the sum of its proper divisors (422381509088).

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

413312300032 is a wasteful number, since it uses less digits than its factorization.

413312300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8047 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 413312300032 its reverse (230003213314), we get a palindrome (643315513346).

The spelling of 413312300032 in words is "four hundred thirteen billion, three hundred twelve million, three hundred thousand, thirty-two".