5040314344400 has 30 divisors (see below), whose sum is σ = 12109355213382. Its totient is φ = 2016125737600.

The previous prime is 5040314344391. The next prime is 5040314344463. The reversal of 5040314344400 is 44434130405.

It can be written as a sum of positive squares in 3 ways, for example, as 1478986770496 + 3561327573904 = 1216136^2 + 1887148^2 .

It is a super-2 number, since 2×5040314344400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6300392531 + ... + 6300393330.

Almost surely, 2^{5040314344400} is an apocalyptic number.

5040314344400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5040314344400 is an abundant number, since it is smaller than the sum of its proper divisors (7069040868982).

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

5040314344400 is a wasteful number, since it uses less digits than its factorization.

5040314344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12600785879 (or 12600785868 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 5040314344400 its reverse (44434130405), we get a palindrome (5084748474805).

The spelling of 5040314344400 in words is "five trillion, forty billion, three hundred fourteen million, three hundred forty-four thousand, four hundred".