4681138880 has 112 divisors (see below), whose sum is σ = 12552883200. Its totient is φ = 1647283200.

The previous prime is 4681138873. The next prime is 4681138919. The reversal of 4681138880 is 888311864.

It is a happy number.

It is a super-2 number, since 2×4681138880² = 43826122427695308800, which contains 22 as substring.

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, 87671 + ... + 130569.

Almost surely, 2^4681138880 is an apocalyptic number.

4681138880 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 4681138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276441600).

4681138880 is an abundant number, since it is smaller than the sum of its proper divisors (7871744320).

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

4681138880 is a wasteful number, since it uses less digits than its factorization.

4681138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42958 (or 42948 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 47.

The square root of 4681138880 is about 68418.8488649144. The cubic root of 4681138880 is about 1672.8249936895.

The spelling of 4681138880 in words is "four billion, six hundred eighty-one million, one hundred thirty-eight thousand, eight hundred eighty".