4881824800 has 72 divisors (see below), whose sum is σ = 11930025492. Its totient is φ = 1950720000.

The previous prime is 4881824767. The next prime is 4881824813. The reversal of 4881824800 is 84281884.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 22619536 + 4859205264 = 4756^2 + 69708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958260 + ... + 963340.

Almost surely, 2^4881824800 is an apocalyptic number.

4881824800 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 4881824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965012746).

4881824800 is an abundant number, since it is smaller than the sum of its proper divisors (7048200692).

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

4881824800 is a wasteful number, since it uses less digits than its factorization.

4881824800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 43.

The square root of 4881824800 is about 69870.0565335395. The cubic root of 4881824800 is about 1696.3966120327.

The spelling of 4881824800 in words is "four billion, eight hundred eighty-one million, eight hundred twenty-four thousand, eight hundred".