4980971520 has 432 divisors, whose sum is σ = 20099832480. Its totient is φ = 1137475584.

The previous prime is 4980971519. The next prime is 4980971537. The reversal of 4980971520 is 251790894.

4980971520 is a `hidden beast` number, since 49 + 80 + 9 + 7 + 1 + 520 = 666.

It is a super-2 number, since 2×4980971520² = 49620154566102220800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515289 + ... + 4516391.

It is an arithmetic number, because the mean of its divisors is an integer number (46527390).

Almost surely, 2^4980971520 is an apocalyptic number.

4980971520 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 4980971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10049916240).

4980971520 is an abundant number, since it is smaller than the sum of its proper divisors (15118860960).

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

4980971520 is a wasteful number, since it uses less digits than its factorization.

4980971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 4980971520 is about 70575.9981863523. The cubic root of 4980971520 is about 1707.8039728446.

The spelling of 4980971520 in words is "four billion, nine hundred eighty million, nine hundred seventy-one thousand, five hundred twenty".