4791138200 has 48 divisors (see below), whose sum is σ = 11183893560. Its totient is φ = 1908800000.

The previous prime is 4791138197. The next prime is 4791138221. The reversal of 4791138200 is 28311974.

It is a congruent number.

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, 2480 + ... + 97920.

Almost surely, 2^4791138200 is an apocalyptic number.

4791138200 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 4791138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591946780).

4791138200 is an abundant number, since it is smaller than the sum of its proper divisors (6392755360).

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

4791138200 is a wasteful number, since it uses less digits than its factorization.

4791138200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95708 (or 95699 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 4791138200 is about 69218.0482244335. The cubic root of 4791138200 is about 1685.8265894866.

The spelling of 4791138200 in words is "four billion, seven hundred ninety-one million, one hundred thirty-eight thousand, two hundred".