404189315712 has 1280 divisors, whose sum is σ = 1545139411200. Its totient is φ = 102064914432.

The previous prime is 404189315681. The next prime is 404189315731. The reversal of 404189315712 is 217513981404.

404189315712 is a `hidden beast` number, since 4 + 0 + 41 + 8 + 9 + 31 + 571 + 2 = 666.

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 159 ways as a sum of consecutive naturals, for example, 2950286908 + ... + 2950287044.

It is an arithmetic number, because the mean of its divisors is an integer number (1207140165).

Almost surely, 2^404189315712 is an apocalyptic number.

404189315712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404189315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772569705600).

404189315712 is an abundant number, since it is smaller than the sum of its proper divisors (1140950095488).

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

404189315712 is a wasteful number, since it uses less digits than its factorization.

404189315712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 404189315712 in words is "four hundred four billion, one hundred eighty-nine million, three hundred fifteen thousand, seven hundred twelve".