5040021168 has 480 divisors, whose sum is σ = 18892124160. Its totient is φ = 1216788480.

The previous prime is 5040021163. The next prime is 5040021179. The reversal of 5040021168 is 8611200405.

5040021168 is a modest number, since divided by 21168 gives 5040 as remainder.

It is not an unprimeable number, because it can be changed into a prime (5040021163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7717930 + ... + 7718582.

It is an arithmetic number, because the mean of its divisors is an integer number (39358592).

Almost surely, 2^5040021168 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 5040021168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9446062080).

5040021168 is an abundant number, since it is smaller than the sum of its proper divisors (13852102992).

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

5040021168 is a wasteful number, since it uses less digits than its factorization.

5040021168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5040021168 is about 70993.1064822494. The cubic root of 5040021168 is about 1714.5261767926.

The spelling of 5040021168 in words is "five billion, forty million, twenty-one thousand, one hundred sixty-eight".