400415315708160 has 4032 divisors, whose sum is σ = 1645967459727360. Its totient is φ = 92772850728960.

The previous prime is 400415315708117. The next prime is 400415315708203. The reversal of 400415315708160 is 61807513514004.

400415315708160 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 1 + 531 + 57 + 0 + 8 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (400415315708117) and next prime (400415315708203).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1073499505734 + ... + 1073499506106.

It is an arithmetic number, because the mean of its divisors is an integer number (408226056480).

Almost surely, 2^{400415315708160} is an apocalyptic number.

400415315708160 is a gapful number since it is divisible by the number (40) 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 400415315708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822983729863680).

400415315708160 is an abundant number, since it is smaller than the sum of its proper divisors (1245552144019200).

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

400415315708160 is a wasteful number, since it uses less digits than its factorization.

400415315708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 400415315708160 in words is "four hundred trillion, four hundred fifteen billion, three hundred fifteen million, seven hundred eight thousand, one hundred sixty".