564031040400 has 135 divisors (see below), whose sum is σ = 1957500772851. Its totient is φ = 150396261120.

The previous prime is 564031040371. The next prime is 564031040453. The reversal of 564031040400 is 4040130465.

The square root of 564031040400 is 751020.

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

564031040400 is a `hidden beast` number, since 5 + 640 + 3 + 10 + 4 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82550483856 + 481480556544 = 287316^2 + 693888^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45054942 + ... + 45067458.

Almost surely, 2^564031040400 is an apocalyptic number.

564031040400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

564031040400 is the 751020-th square number.

It is an amenable number.

564031040400 is an abundant number, since it is smaller than the sum of its proper divisors (1393469732451).

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

564031040400 is an equidigital number, since it uses as much as digits as its factorization.

564031040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25058 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 564031040400 its reverse (4040130465), we get a palindrome (568071170865).

The spelling of 564031040400 in words is "five hundred sixty-four billion, thirty-one million, forty thousand, four hundred".