5140534400 has 96 divisors (see below), whose sum is σ = 12830415780. Its totient is φ = 2034892800.

The previous prime is 5140534397. The next prime is 5140534433. The reversal of 5140534400 is 44350415.

It can be written as a sum of positive squares in 6 ways, for example, as 539354176 + 4601180224 = 23224^2 + 67832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5140534400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302120 + ... + 318680.

Almost surely, 2^5140534400 is an apocalyptic number.

5140534400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415207890).

5140534400 is an abundant number, since it is smaller than the sum of its proper divisors (7689881380).

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

5140534400 is a wasteful number, since it uses less digits than its factorization.

5140534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16682 (or 16665 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 5140534400 is about 71697.5201802684. The cubic root of 5140534400 is about 1725.8488463872.

Adding to 5140534400 its reverse (44350415), we get a palindrome (5184884815).

The spelling of 5140534400 in words is "five billion, one hundred forty million, five hundred thirty-four thousand, four hundred".