5040302400 has 504 divisors, whose sum is σ = 21147170304. Its totient is φ = 1114214400.

The previous prime is 5040302353. The next prime is 5040302401. The reversal of 5040302400 is 42030405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040302401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3123994 + ... + 3125606.

Almost surely, 2^5040302400 is an apocalyptic number.

5040302400 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 5040302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573585152).

5040302400 is an abundant number, since it is smaller than the sum of its proper divisors (16106867904).

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

5040302400 is a wasteful number, since it uses less digits than its factorization.

5040302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5040302400 is about 70995.0871539714. The cubic root of 5040302400 is about 1714.5580662524.

Adding to 5040302400 its reverse (42030405), we get a palindrome (5082332805).

The spelling of 5040302400 in words is "five billion, forty million, three hundred two thousand, four hundred".