4881468960 has 144 divisors (see below), whose sum is σ = 16682342040. Its totient is φ = 1299824640.

The previous prime is 4881468947. The next prime is 4881468973. The reversal of 4881468960 is 698641884.

4881468960 is a `hidden beast` number, since 48 + 81 + 468 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4881468947) and next prime (4881468973).

It can be written as a sum of positive squares in 4 ways, for example, as 3526934544 + 1354534416 = 59388^2 + 36804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4881468897 and 4881468906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180176 + ... + 1184304.

Almost surely, 2^4881468960 is an apocalyptic number.

4881468960 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 4881468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8341171020).

4881468960 is an abundant number, since it is smaller than the sum of its proper divisors (11800873080).

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

4881468960 is a wasteful number, since it uses less digits than its factorization.

4881468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 4881468960 is about 69867.5100458003. The cubic root of 4881468960 is about 1696.3553938091.

The spelling of 4881468960 in words is "four billion, eight hundred eighty-one million, four hundred sixty-eight thousand, nine hundred sixty".