400265898587688 has 576 divisors, whose sum is σ = 1216428265301760. Its totient is φ = 109421746560000.

The previous prime is 400265898587663. The next prime is 400265898587693. The reversal of 400265898587688 is 886785898562004.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a self number, because there is not a number n which added to its sum of digits gives 400265898587688.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97364604753 + ... + 97364608863.

It is an arithmetic number, because the mean of its divisors is an integer number (2111854627260).

Almost surely, 2^{400265898587688} 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 400265898587688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608214132650880).

400265898587688 is an abundant number, since it is smaller than the sum of its proper divisors (816162366714072).

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

400265898587688 is a wasteful number, since it uses less digits than its factorization.

400265898587688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 14863564800, while the sum is 84.

The spelling of 400265898587688 in words is "four hundred trillion, two hundred sixty-five billion, eight hundred ninety-eight million, five hundred eighty-seven thousand, six hundred eighty-eight".