400317704064 has 512 divisors, whose sum is σ = 1270700006400. Its totient is φ = 123765497856.

The previous prime is 400317704027. The next prime is 400317704077. The reversal of 400317704064 is 460407713004.

It is a happy number.

400317704064 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591310894 + ... + 591311570.

It is an arithmetic number, because the mean of its divisors is an integer number (2481835950).

Almost surely, 2^400317704064 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 400317704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635350003200).

400317704064 is an abundant number, since it is smaller than the sum of its proper divisors (870382302336).

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

400317704064 is a wasteful number, since it uses less digits than its factorization.

400317704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 400317704064 in words is "four hundred billion, three hundred seventeen million, seven hundred four thousand, sixty-four".