4841827200 has 864 divisors, whose sum is σ = 20806212960. Its totient is φ = 1068318720.

The previous prime is 4841827169. The next prime is 4841827213. The reversal of 4841827200 is 27281484.

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 107 ways as a sum of consecutive naturals, for example, 66326364 + ... + 66326436.

It is an arithmetic number, because the mean of its divisors is an integer number (24081265).

Almost surely, 2^4841827200 is an apocalyptic number.

4841827200 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 4841827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403106480).

4841827200 is an abundant number, since it is smaller than the sum of its proper divisors (15964385760).

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

4841827200 is a wasteful number, since it uses less digits than its factorization.

4841827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4841827200 is about 69583.2393612140. The cubic root of 4841827200 is about 1691.7509483706.

The spelling of 4841827200 in words is "four billion, eight hundred forty-one million, eight hundred twenty-seven thousand, two hundred".