5044124160 has 480 divisors, whose sum is σ = 18423477072. Its totient is φ = 1274019840.

The previous prime is 5044124149. The next prime is 5044124203. The reversal of 5044124160 is 614214405.

It can be written as a sum of positive squares in 8 ways, for example, as 1676411136 + 3367713024 = 40944^2 + 58032^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 52001232 + ... + 52001328.

Almost surely, 2^5044124160 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 5044124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9211738536).

5044124160 is an abundant number, since it is smaller than the sum of its proper divisors (13379352912).

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

5044124160 is a wasteful number, since it uses less digits than its factorization.

5044124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5044124160 is about 71021.9977190166. The cubic root of 5044124160 is about 1714.9913057327.

Adding to 5044124160 its reverse (614214405), we get a palindrome (5658338565).

The spelling of 5044124160 in words is "five billion, forty-four million, one hundred twenty-four thousand, one hundred sixty".