400682670025 has 81 divisors (see below), whose sum is σ = 580993159327. Its totient is φ = 273858956800.

The previous prime is 400682669999. The next prime is 400682670041. The reversal of 400682670025 is 520076286004.

The square root of 400682670025 is 632995.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2350019529 + 398332650496 = 48477^2 + 631136^2 .

It is not a de Polignac number, because 400682670025 - 2³⁷ = 263243716553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400682670025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 591849987 + ... + 591850663.

Almost surely, 2^400682670025 is an apocalyptic number.

400682670025 is the 632995-th square number.

400682670025 is the 316498-th centered octagonal number.

It is an amenable number.

400682670025 is a deficient number, since it is larger than the sum of its proper divisors (180310489302).

400682670025 is an equidigital number, since it uses as much as digits as its factorization.

400682670025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 400682670025 in words is "four hundred billion, six hundred eighty-two million, six hundred seventy thousand, twenty-five".