413114113321344 has 48 divisors (see below), whose sum is σ = 1188778893805620. Its totient is φ = 137704704440064.

The previous prime is 413114113321229. The next prime is 413114113321373. The reversal of 413114113321344 is 443123311411314.

413114113321344 is a `hidden beast` number, since 4 + 1 + 311 + 4 + 1 + 1 + 332 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 413114113321299 and 413114113321308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 179302999422 + ... + 179303001725.

Almost surely, 2^{413114113321344} is an apocalyptic number.

It is an amenable number.

413114113321344 is an abundant number, since it is smaller than the sum of its proper divisors (775664780484276).

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

413114113321344 is a wasteful number, since it uses less digits than its factorization.

413114113321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358606001167 (or 358606001152 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 413114113321344 its reverse (443123311411314), we get a palindrome (856237424732658).

The spelling of 413114113321344 in words is "four hundred thirteen trillion, one hundred fourteen billion, one hundred thirteen million, three hundred twenty-one thousand, three hundred forty-four".