4939914960 has 120 divisors (see below), whose sum is σ = 16614996840. Its totient is φ = 1315316736.

The previous prime is 4939914929. The next prime is 4939914977. The reversal of 4939914960 is 694199394.

4939914960 is a `hidden beast` number, since 493 + 9 + 9 + 149 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213627456 + 4726287504 = 14616^2 + 68748^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 4939914897 and 4939914906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505642 + ... + 515318.

It is an arithmetic number, because the mean of its divisors is an integer number (138458307).

Almost surely, 2^4939914960 is an apocalyptic number.

4939914960 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 4939914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307498420).

4939914960 is an abundant number, since it is smaller than the sum of its proper divisors (11675081880).

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

4939914960 is a wasteful number, since it uses less digits than its factorization.

4939914960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10405 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 4939914960 is about 70284.5285962707. The cubic root of 4939914960 is about 1703.0987265862.

The spelling of 4939914960 in words is "four billion, nine hundred thirty-nine million, nine hundred fourteen thousand, nine hundred sixty".