404145224000 has 112 divisors (see below), whose sum is σ = 1143846612480. Its totient is φ = 138564057600.

The previous prime is 404145223907. The next prime is 404145224011. The reversal of 404145224000 is 422541404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3552440 + ... + 3664439.

Almost surely, 2^404145224000 is an apocalyptic number.

404145224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404145224000 is an abundant number, since it is smaller than the sum of its proper divisors (739701388480).

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

404145224000 is an equidigital number, since it uses as much as digits as its factorization.

404145224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216913 (or 7216893 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 404145224000 its reverse (422541404), we get a palindrome (404567765404).

The spelling of 404145224000 in words is "four hundred four billion, one hundred forty-five million, two hundred twenty-four thousand".