413362111032 has 256 divisors, whose sum is σ = 1310510275200. Its totient is φ = 119595294720.

The previous prime is 413362111009. The next prime is 413362111033. The reversal of 413362111032 is 230111263314.

It is a happy number.

413362111032 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 621 + 1 + 1 + 0 + 32 = 666.

It is a super-2 number, since 2×413362111032² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 413362110987 and 413362111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413362111033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60955482 + ... + 60962262.

Almost surely, 2^413362111032 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 413362111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655255137600).

413362111032 is an abundant number, since it is smaller than the sum of its proper divisors (897148164168).

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

413362111032 is a wasteful number, since it uses less digits than its factorization.

413362111032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8103 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 413362111032 its reverse (230111263314), we get a palindrome (643473374346).

The spelling of 413362111032 in words is "four hundred thirteen billion, three hundred sixty-two million, one hundred eleven thousand, thirty-two".