4971456960 has 112 divisors (see below), whose sum is σ = 16120359936. Its totient is φ = 1297503232.

The previous prime is 4971456947. The next prime is 4971456961. The reversal of 4971456960 is 696541794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971456961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9972 + ... + 100211.

Almost surely, 2^4971456960 is an apocalyptic number.

4971456960 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 4971456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060179968).

4971456960 is an abundant number, since it is smaller than the sum of its proper divisors (11148902976).

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

4971456960 is a wasteful number, since it uses less digits than its factorization.

4971456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110250 (or 110240 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 4971456960 is about 70508.5594803922. The cubic root of 4971456960 is about 1706.7158745035.

The spelling of 4971456960 in words is "four billion, nine hundred seventy-one million, four hundred fifty-six thousand, nine hundred sixty".