4940183160 has 576 divisors, whose sum is σ = 19121356800. Its totient is φ = 1101703680.

The previous prime is 4940183137. The next prime is 4940183191. The reversal of 4940183160 is 613810494.

4940183160 is a `hidden beast` number, since 494 + 0 + 1 + 8 + 3 + 160 = 666.

It is a super-3 number, since 3×4940183160³ (a number of 30 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38899017 + ... + 38899143.

It is an arithmetic number, because the mean of its divisors is an integer number (33196800).

Almost surely, 2^4940183160 is an apocalyptic number.

4940183160 is a gapful number since it is divisible by the number (40) 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 4940183160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9560678400).

4940183160 is an abundant number, since it is smaller than the sum of its proper divisors (14181173640).

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

4940183160 is a wasteful number, since it uses less digits than its factorization.

4940183160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4940183160 is about 70286.4365293902. The cubic root of 4940183160 is about 1703.1295478194.

The spelling of 4940183160 in words is "four billion, nine hundred forty million, one hundred eighty-three thousand, one hundred sixty".