4971740800 has 96 divisors (see below), whose sum is σ = 13226614380. Its totient is φ = 1835704320.

The previous prime is 4971740779. The next prime is 4971740819. The reversal of 4971740800 is 80471794.

It can be written as a sum of positive squares in 6 ways, for example, as 648415296 + 4323325504 = 25464^2 + 65752^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18157 + ... + 101356.

Almost surely, 2^4971740800 is an apocalyptic number.

4971740800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4971740800 is an abundant number, since it is smaller than the sum of its proper divisors (8254873580).

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

4971740800 is a wasteful number, since it uses less digits than its factorization.

4971740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119550 (or 119533 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 4971740800 is about 70510.5722569318. The cubic root of 4971740800 is about 1706.7483549225.

The spelling of 4971740800 in words is "four billion, nine hundred seventy-one million, seven hundred forty thousand, eight hundred".