400872315065616 has 315 divisors, whose sum is σ = 1178299442341749. Its totient is φ = 132059281533696.

The previous prime is 400872315065603. The next prime is 400872315065623. The reversal of 400872315065616 is 616560513278004.

It is a happy number.

The square root of 400872315065616 is 20021796.

It is a perfect power (a square), and thus also a powerful number.

400872315065616 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 7 + 2 + 3 + 15 + 0 + 6 + 5 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76975986771216 + 323896328294400 = 8773596^2 + 17997120^2 .

It is a super-2 number, since 2×400872315065616² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 192449502111 + ... + 192449504193.

Almost surely, 2^{400872315065616} is an apocalyptic number.

400872315065616 is the 20021796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400872315065616

400872315065616 is an abundant number, since it is smaller than the sum of its proper divisors (777427127276133).

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

400872315065616 is an frugal number, since it uses more digits than its factorization.

400872315065616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 400872315065616 in words is "four hundred trillion, eight hundred seventy-two billion, three hundred fifteen million, sixty-five thousand, six hundred sixteen".