400997506241664 has 1024 divisors, whose sum is σ = 1297829917440000. Its totient is φ = 121453346488320.

The previous prime is 400997506241621. The next prime is 400997506241671. The reversal of 400997506241664 is 466142605799004.

It is a happy number.

400997506241664 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 97 + 506 + 24 + 16 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102635653599 + ... + 102635657505.

It is an arithmetic number, because the mean of its divisors is an integer number (1267412028750).

Almost surely, 2^{400997506241664} 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 400997506241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648914958720000).

400997506241664 is an abundant number, since it is smaller than the sum of its proper divisors (896832411198336).

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

400997506241664 is a wasteful number, since it uses less digits than its factorization.

400997506241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 400997506241664 in words is "four hundred trillion, nine hundred ninety-seven billion, five hundred six million, two hundred forty-one thousand, six hundred sixty-four".