400597253672832 has 1344 divisors, whose sum is σ = 1301549902511760. Its totient is φ = 122689066106880.

The previous prime is 400597253672821. The next prime is 400597253672897. The reversal of 400597253672832 is 238276352795004.

400597253672832 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 9 + 72 + 536 + 7 + 28 + 3 + 2 = 666.

It is a super-2 number, since 2×400597253672832² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400597253672832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 344451636283 + ... + 344451637445.

Almost surely, 2^{400597253672832} 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 400597253672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650774951255880).

400597253672832 is an abundant number, since it is smaller than the sum of its proper divisors (900952648838928).

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

400597253672832 is a wasteful number, since it uses less digits than its factorization.

400597253672832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 400597253672832 in words is "four hundred trillion, five hundred ninety-seven billion, two hundred fifty-three million, six hundred seventy-two thousand, eight hundred thirty-two".