4993811200 has 432 divisors, whose sum is σ = 15329018880. Its totient is φ = 1571880960.

The previous prime is 4993811197. The next prime is 4993811201. The reversal of 4993811200 is 21183994.

It is a self number, because there is not a number n which added to its sum of digits gives 4993811200.

It is not an unprimeable number, because it can be changed into a prime (4993811201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60166359 + ... + 60166441.

It is an arithmetic number, because the mean of its divisors is an integer number (35483840).

Almost surely, 2^4993811200 is an apocalyptic number.

4993811200 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 4993811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664509440).

4993811200 is an abundant number, since it is smaller than the sum of its proper divisors (10335207680).

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

4993811200 is a wasteful number, since it uses less digits than its factorization.

4993811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 4993811200 is about 70666.9031442584. The cubic root of 4993811200 is about 1709.2701421151.

The spelling of 4993811200 in words is "four billion, nine hundred ninety-three million, eight hundred eleven thousand, two hundred".