5712004400400 has 405 divisors, whose sum is σ = 20183432557197. Its totient is φ = 1495936281600.

The previous prime is 5712004400383. The next prime is 5712004400429. The reversal of 5712004400400 is 40044002175.

The square root of 5712004400400 is 2389980.

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

5712004400400 is a `hidden beast` number, since 57 + 1 + 200 + 4 + 4 + 0 + 0 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5382381440016 + 329622960384 = 2319996^2 + 574128^2 .

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, 8747326474 + ... + 8747327126.

Almost surely, 2^{5712004400400} is an apocalyptic number.

5712004400400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5712004400400 is the 2389980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5712004400400

5712004400400 is an abundant number, since it is smaller than the sum of its proper divisors (14471428156797).

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

5712004400400 is an equidigital number, since it uses as much as digits as its factorization.

5712004400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 5712004400400 its reverse (40044002175), we get a palindrome (5752048402575).

The spelling of 5712004400400 in words is "five trillion, seven hundred twelve billion, four million, four hundred thousand, four hundred".