400367484364225 has 81 divisors (see below), whose sum is σ = 609524922211497. Its totient is φ = 260079706776960.

The previous prime is 400367484364223. The next prime is 400367484364229. The reversal of 400367484364225 is 522463484763004.

The square root of 400367484364225 is 20009185.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8897042149681 + 391470442214544 = 2982791^2 + 19785612^2 .

It is not a de Polignac number, because 400367484364225 - 2¹ = 400367484364223 is a prime.

It is a super-2 number, since 2×400367484364225² (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 400367484364225.

It is not an unprimeable number, because it can be changed into a prime (400367484364223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13306092981 + ... + 13306123069.

Almost surely, 2^{400367484364225} is an apocalyptic number.

400367484364225 is the 20009185-th square number.

400367484364225 is the 10004593-rd centered octagonal number.

It is an amenable number.

400367484364225 is a deficient number, since it is larger than the sum of its proper divisors (209157437847272).

400367484364225 is an frugal number, since it uses more digits than its factorization.

400367484364225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60240 (or 30120 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 58.

The spelling of 400367484364225 in words is "four hundred trillion, three hundred sixty-seven billion, four hundred eighty-four million, three hundred sixty-four thousand, two hundred twenty-five".