414413004231 has 24 divisors (see below), whose sum is σ = 667166451120. Its totient is φ = 246338378496.

The previous prime is 414413004179. The next prime is 414413004253. The reversal of 414413004231 is 132400314414.

414413004231 is a `hidden beast` number, since 4 + 14 + 413 + 0 + 0 + 4 + 231 = 666.

It is not a de Polignac number, because 414413004231 - 2³⁵ = 380053265863 is a prime.

It is a super-2 number, since 2×414413004231² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414413004195 and 414413004204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414413004331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71275560 + ... + 71281373.

It is an arithmetic number, because the mean of its divisors is an integer number (27798602130).

Almost surely, 2^414413004231 is an apocalyptic number.

414413004231 is a deficient number, since it is larger than the sum of its proper divisors (252753446889).

414413004231 is a wasteful number, since it uses less digits than its factorization.

414413004231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142556975 (or 142556972 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414413004231 its reverse (132400314414), we get a palindrome (546813318645).

The spelling of 414413004231 in words is "four hundred fourteen billion, four hundred thirteen million, four thousand, two hundred thirty-one".