4981132800 has 960 divisors, whose sum is σ = 21920025600. Its totient is φ = 1083801600.

The previous prime is 4981132789. The next prime is 4981132837. The reversal of 4981132800 is 82311894.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70156765 + ... + 70156835.

It is an arithmetic number, because the mean of its divisors is an integer number (22833360).

Almost surely, 2^4981132800 is an apocalyptic number.

4981132800 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 4981132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10960012800).

4981132800 is an abundant number, since it is smaller than the sum of its proper divisors (16938892800).

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

4981132800 is a wasteful number, since it uses less digits than its factorization.

4981132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

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

The square root of 4981132800 is about 70577.1407751830. The cubic root of 4981132800 is about 1707.8224051023.

The spelling of 4981132800 in words is "four billion, nine hundred eighty-one million, one hundred thirty-two thousand, eight hundred".