4881139200 has 360 divisors, whose sum is σ = 19967012208. Its totient is φ = 1115504640.

The previous prime is 4881139199. The next prime is 4881139201. The reversal of 4881139200 is 29311884.

It is an interprime number because it is at equal distance from previous prime (4881139199) and next prime (4881139201).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4881139201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 803374 + ... + 809426.

Almost surely, 2^4881139200 is an apocalyptic number.

4881139200 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 4881139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9983506104).

4881139200 is an abundant number, since it is smaller than the sum of its proper divisors (15085873008).

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

4881139200 is a wasteful number, since it uses less digits than its factorization.

4881139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4881139200 is about 69865.1501107670. The cubic root of 4881139200 is about 1696.3171947372.

The spelling of 4881139200 in words is "four billion, eight hundred eighty-one million, one hundred thirty-nine thousand, two hundred".