4841964900 has 108 divisors (see below), whose sum is σ = 15347650500. Its totient is φ = 1276661760.

The previous prime is 4841964887. The next prime is 4841964913. The reversal of 4841964900 is 94691484.

It is an interprime number because it is at equal distance from previous prime (4841964887) and next prime (4841964913).

It can be written as a sum of positive squares in 6 ways, for example, as 1262096676 + 3579868224 = 35526^2 + 59832^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49876 + ... + 110324.

It is an arithmetic number, because the mean of its divisors is an integer number (142107875).

Almost surely, 2^4841964900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4841964900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673825250).

4841964900 is an abundant number, since it is smaller than the sum of its proper divisors (10505685600).

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

4841964900 is a wasteful number, since it uses less digits than its factorization.

4841964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60558 (or 60548 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4841964900 is about 69584.2288165932. The cubic root of 4841964900 is about 1691.7669858352.

The spelling of 4841964900 in words is "four billion, eight hundred forty-one million, nine hundred sixty-four thousand, nine hundred".