4991138880 has 896 divisors, whose sum is σ = 21411102720. Its totient is φ = 955514880.

The previous prime is 4991138863. The next prime is 4991138891. The reversal of 4991138880 is 888311994.

It is a super-2 number, since 2×4991138880² = 49822934638895308800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51454992 + ... + 51455088.

It is an arithmetic number, because the mean of its divisors is an integer number (23896320).

Almost surely, 2^4991138880 is an apocalyptic number.

4991138880 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 4991138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10705551360).

4991138880 is an abundant number, since it is smaller than the sum of its proper divisors (16419963840).

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

4991138880 is a wasteful number, since it uses less digits than its factorization.

4991138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 4991138880 is about 70647.9927528023. The cubic root of 4991138880 is about 1708.9651958784.

The spelling of 4991138880 in words is "four billion, nine hundred ninety-one million, one hundred thirty-eight thousand, eight hundred eighty".