404312131233 has 72 divisors (see below), whose sum is σ = 620889946560. Its totient is φ = 263180080800.

The previous prime is 404312131159. The next prime is 404312131259. The reversal of 404312131233 is 332131213404.

It is a happy number.

404312131233 is a `hidden beast` number, since 4 + 0 + 4 + 312 + 1 + 312 + 33 = 666.

It is not a de Polignac number, because 404312131233 - 2¹² = 404312127137 is a prime.

It is a super-2 number, since 2×404312131233² (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 = 404312131197 and 404312131206.

It is not an unprimeable number, because it can be changed into a prime (404312131273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58448491 + ... + 58455407.

It is an arithmetic number, because the mean of its divisors is an integer number (8623471480).

Almost surely, 2^404312131233 is an apocalyptic number.

It is an amenable number.

404312131233 is a deficient number, since it is larger than the sum of its proper divisors (216577815327).

404312131233 is an frugal number, since it uses more digits than its factorization.

404312131233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7151 (or 7130 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 404312131233 its reverse (332131213404), we get a palindrome (736443344637).

The spelling of 404312131233 in words is "four hundred four billion, three hundred twelve million, one hundred thirty-one thousand, two hundred thirty-three".