5038413624 has 128 divisors (see below), whose sum is σ = 15099048000. Its totient is φ = 1550794752.

The previous prime is 5038413623. The next prime is 5038413647. The reversal of 5038413624 is 4263148305.

5038413624 is a `hidden beast` number, since 503 + 84 + 13 + 62 + 4 = 666.

It is a super-2 number, since 2×5038413624² = 50771223693017626752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5038413623) 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 31 ways as a sum of consecutive naturals, for example, 181672 + ... + 207560.

Almost surely, 2^5038413624 is an apocalyptic number.

5038413624 is a gapful number since it is divisible by the number (54) 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 5038413624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549524000).

5038413624 is an abundant number, since it is smaller than the sum of its proper divisors (10060634376).

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

5038413624 is a wasteful number, since it uses less digits than its factorization.

5038413624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25974 (or 25964 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5038413624 is about 70981.7837476630. The cubic root of 5038413624 is about 1714.3438713841.

The spelling of 5038413624 in words is "five billion, thirty-eight million, four hundred thirteen thousand, six hundred twenty-four".