4881958400 has 120 divisors (see below), whose sum is σ = 13195398744. Its totient is φ = 1775206400.

The previous prime is 4881958373. The next prime is 4881958447. The reversal of 4881958400 is 48591884.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123464 + ... + 158136.

Almost surely, 2^4881958400 is an apocalyptic number.

4881958400 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 4881958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597699372).

4881958400 is an abundant number, since it is smaller than the sum of its proper divisors (8313440344).

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

4881958400 is a wasteful number, since it uses less digits than its factorization.

4881958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34712 (or 34691 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 47.

The square root of 4881958400 is about 69871.0125874815. The cubic root of 4881958400 is about 1696.4120868827.

The spelling of 4881958400 in words is "four billion, eight hundred eighty-one million, nine hundred fifty-eight thousand, four hundred".