400312965744 has 120 divisors (see below), whose sum is σ = 1141579776480. Its totient is φ = 130929302016.

The previous prime is 400312965737. The next prime is 400312965751. The reversal of 400312965744 is 447569213004.

400312965744 is a `hidden beast` number, since 40 + 0 + 31 + 2 + 9 + 6 + 574 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (400312965737) and next prime (400312965751).

It is a self number, because there is not a number n which added to its sum of digits gives 400312965744.

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 23 ways as a sum of consecutive naturals, for example, 1492882 + ... + 1740494.

It is an arithmetic number, because the mean of its divisors is an integer number (9513164804).

Almost surely, 2^400312965744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400312965744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570789888240).

400312965744 is an abundant number, since it is smaller than the sum of its proper divisors (741266810736).

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

400312965744 is a wasteful number, since it uses less digits than its factorization.

400312965744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247839 (or 247830 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 400312965744 in words is "four hundred billion, three hundred twelve million, nine hundred sixty-five thousand, seven hundred forty-four".