4971090720 has 96 divisors (see below), whose sum is σ = 15814128960. Its totient is φ = 1312486400.

The previous prime is 4971090713. The next prime is 4971090739. The reversal of 4971090720 is 270901794.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2790 + ... + 99749.

It is an arithmetic number, because the mean of its divisors is an integer number (164730510).

Almost surely, 2^4971090720 is an apocalyptic number.

4971090720 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 4971090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907064480).

4971090720 is an abundant number, since it is smaller than the sum of its proper divisors (10843038240).

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

4971090720 is a wasteful number, since it uses less digits than its factorization.

4971090720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102658 (or 102650 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 4971090720 is about 70505.9623010707. The cubic root of 4971090720 is about 1706.6739630493.

The spelling of 4971090720 in words is "four billion, nine hundred seventy-one million, ninety thousand, seven hundred twenty".