404122312431 has 20 divisors (see below), whose sum is σ = 616533336672. Its totient is φ = 263682641088.

The previous prime is 404122312397. The next prime is 404122312463. The reversal of 404122312431 is 134213221404.

404122312431 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 223 + 1 + 2 + 431 = 666.

It is not a de Polignac number, because 404122312431 - 2³⁸ = 129244405487 is a prime.

It is a super-2 number, since 2×404122312431² (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 = 404122312395 and 404122312404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404122311431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53072410 + ... + 53080023.

Almost surely, 2^404122312431 is an apocalyptic number.

404122312431 is a deficient number, since it is larger than the sum of its proper divisors (212411024241).

404122312431 is a wasteful number, since it uses less digits than its factorization.

404122312431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106152492 (or 106152483 counting only the distinct ones).

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

Adding to 404122312431 its reverse (134213221404), we get a palindrome (538335533835).

The spelling of 404122312431 in words is "four hundred four billion, one hundred twenty-two million, three hundred twelve thousand, four hundred thirty-one".