4944252960 has 672 divisors, whose sum is σ = 19434764160. Its totient is φ = 1182449664.

The previous prime is 4944252917. The next prime is 4944253001. The reversal of 4944252960 is 692524494.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50971632 + ... + 50971728.

It is an arithmetic number, because the mean of its divisors is an integer number (28920780).

Almost surely, 2^4944252960 is an apocalyptic number.

4944252960 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 4944252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717382080).

4944252960 is an abundant number, since it is smaller than the sum of its proper divisors (14490511200).

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

4944252960 is a wasteful number, since it uses less digits than its factorization.

4944252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4944252960 is about 70315.3821009315. The cubic root of 4944252960 is about 1703.5971076839.

The spelling of 4944252960 in words is "four billion, nine hundred forty-four million, two hundred fifty-two thousand, nine hundred sixty".