4891441984 has 112 divisors (see below), whose sum is σ = 11516319360. Its totient is φ = 2032035840.

The previous prime is 4891441969. The next prime is 4891442021.

It is a happy number.

4891441984 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 940062 + ... + 945250.

It is an arithmetic number, because the mean of its divisors is an integer number (102824280).

Almost surely, 2^4891441984 is an apocalyptic number.

4891441984 is a gapful number since it is divisible by the number (44) 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 4891441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758159680).

4891441984 is an abundant number, since it is smaller than the sum of its proper divisors (6624877376).

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

4891441984 is a wasteful number, since it uses less digits than its factorization.

4891441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5318 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 52.

The square root of 4891441984 is about 69938.8446001219. The cubic root of 4891441984 is about 1697.5098471799.

The spelling of 4891441984 in words is "four billion, eight hundred ninety-one million, four hundred forty-one thousand, nine hundred eighty-four".