5040710400 has 432 divisors, whose sum is σ = 18796296960. Its totient is φ = 1178419200.

The previous prime is 5040710387. The next prime is 5040710407. The reversal of 5040710400 is 40170405.

It is a super-2 number, since 2×5040710400² = 50817522673336320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5040710407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6124389 + ... + 6125211.

Almost surely, 2^5040710400 is an apocalyptic number.

5040710400 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 5040710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398148480).

5040710400 is an abundant number, since it is smaller than the sum of its proper divisors (13755586560).

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

5040710400 is a wasteful number, since it uses less digits than its factorization.

5040710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 5040710400 is about 70997.9605340886. The cubic root of 5040710400 is about 1714.6043280810.

Adding to 5040710400 its reverse (40170405), we get a palindrome (5080880805).

The spelling of 5040710400 in words is "five billion, forty million, seven hundred ten thousand, four hundred".