404413113203424 has 72 divisors (see below), whose sum is σ = 1238515159196952. Its totient is φ = 124434804061440.

The previous prime is 404413113203399. The next prime is 404413113203479. The reversal of 404413113203424 is 424302311314404.

404413113203424 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 13 + 1 + 13 + 203 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×404413113203424² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54008157742 + ... + 54008165229.

It is an arithmetic number, because the mean of its divisors is an integer number (17201599433291).

Almost surely, 2^{404413113203424} is an apocalyptic number.

It is an amenable number.

404413113203424 is an abundant number, since it is smaller than the sum of its proper divisors (834102045993528).

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

404413113203424 is a wasteful number, since it uses less digits than its factorization.

404413113203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108016323000 (or 108016322989 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 404413113203424 its reverse (424302311314404), we get a palindrome (828715424517828).

The spelling of 404413113203424 in words is "four hundred four trillion, four hundred thirteen billion, one hundred thirteen million, two hundred three thousand, four hundred twenty-four".