5044413600 has 216 divisors, whose sum is σ = 17831913372. Its totient is φ = 1341849600.

The previous prime is 5044413599. The next prime is 5044413601. The reversal of 5044413600 is 63144405.

5044413600 is a `hidden beast` number, since 5 + 0 + 4 + 44 + 13 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5044413599) and next prime (5044413601).

It can be written as a sum of positive squares in 6 ways, for example, as 4414805136 + 629608464 = 66444^2 + 25092^2 .

It is a super-2 number, since 2×5044413600² = 50892217135729920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5044413601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4614654 + ... + 4615746.

Almost surely, 2^5044413600 is an apocalyptic number.

5044413600 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 5044413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915956686).

5044413600 is an abundant number, since it is smaller than the sum of its proper divisors (12787499772).

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

5044413600 is a wasteful number, since it uses less digits than its factorization.

5044413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5044413600 is about 71024.0353683174. The cubic root of 5044413600 is about 1715.0241080967.

The spelling of 5044413600 in words is "five billion, forty-four million, four hundred thirteen thousand, six hundred".