404112312400 has 60 divisors (see below), whose sum is σ = 971031363904. Its totient is φ = 161619696000.

The previous prime is 404112312353. The next prime is 404112312437. The reversal of 404112312400 is 4213211404.

It is a happy number.

It is a super-2 number, since 2×404112312400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2600905 + ... + 2751895.

Almost surely, 2^404112312400 is an apocalyptic number.

404112312400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404112312400 is an abundant number, since it is smaller than the sum of its proper divisors (566919051504).

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

404112312400 is a wasteful number, since it uses less digits than its factorization.

404112312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157700 (or 157689 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 404112312400 its reverse (4213211404), we get a palindrome (408325523804).

The spelling of 404112312400 in words is "four hundred four billion, one hundred twelve million, three hundred twelve thousand, four hundred".