4932918144 has 640 divisors, whose sum is σ = 18909918720. Its totient is φ = 1239183360.

The previous prime is 4932918143. The next prime is 4932918163. The reversal of 4932918144 is 4418192394.

4932918144 is a `hidden beast` number, since 493 + 2 + 9 + 18 + 144 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4932918144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4932918143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29538349 + ... + 29538515.

It is an arithmetic number, because the mean of its divisors is an integer number (29546748).

Almost surely, 2^4932918144 is an apocalyptic number.

4932918144 is a gapful number since it is divisible by the number (44) 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 4932918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454959360).

4932918144 is an abundant number, since it is smaller than the sum of its proper divisors (13977000576).

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

4932918144 is a wasteful number, since it uses less digits than its factorization.

4932918144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 4932918144 is about 70234.7360214303. The cubic root of 4932918144 is about 1702.2942661214.

The spelling of 4932918144 in words is "four billion, nine hundred thirty-two million, nine hundred eighteen thousand, one hundred forty-four".