4881936000 has 512 divisors, whose sum is σ = 17528659200. Its totient is φ = 1198080000.

The previous prime is 4881935977. The next prime is 4881936023. The reversal of 4881936000 is 6391884.

It is an interprime number because it is at equal distance from previous prime (4881935977) and next prime (4881936023).

It is a self number, because there is not a number n which added to its sum of digits gives 4881936000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48335950 + ... + 48336050.

Almost surely, 2^4881936000 is an apocalyptic number.

4881936000 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 4881936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8764329600).

4881936000 is an abundant number, since it is smaller than the sum of its proper divisors (12646723200).

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

4881936000 is a wasteful number, since it uses less digits than its factorization.

4881936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4881936000 is about 69870.8522919250. The cubic root of 4881936000 is about 1696.4094923168.

The spelling of 4881936000 in words is "four billion, eight hundred eighty-one million, nine hundred thirty-six thousand".