5038824480 has 384 divisors, whose sum is σ = 17494880256. Its totient is φ = 1214054400.

The previous prime is 5038824473. The next prime is 5038824487. The reversal of 5038824480 is 844288305.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5038824473) and next prime (5038824487).

It is not an unprimeable number, because it can be changed into a prime (5038824487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26381185 + ... + 26381375.

It is an arithmetic number, because the mean of its divisors is an integer number (45559584).

Almost surely, 2^5038824480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5038824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747440128).

5038824480 is an abundant number, since it is smaller than the sum of its proper divisors (12456055776).

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

5038824480 is a wasteful number, since it uses less digits than its factorization.

5038824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 5038824480 is about 70984.6777833076. The cubic root of 5038824480 is about 1714.3904686780.

The spelling of 5038824480 in words is "five billion, thirty-eight million, eight hundred twenty-four thousand, four hundred eighty".