4816219200 has 336 divisors, whose sum is σ = 17249729280. Its totient is φ = 1169326080.

The previous prime is 4816219169. The next prime is 4816219207. The reversal of 4816219200 is 29126184.

It is not an unprimeable number, because it can be changed into a prime (4816219207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4929112 + ... + 4930088.

It is an arithmetic number, because the mean of its divisors is an integer number (51338480).

Almost surely, 2^4816219200 is an apocalyptic number.

4816219200 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 4816219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624864640).

4816219200 is an abundant number, since it is smaller than the sum of its proper divisors (12433510080).

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

4816219200 is a wasteful number, since it uses less digits than its factorization.

4816219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 4816219200 is about 69398.9855833643. The cubic root of 4816219200 is about 1688.7631672599.

The spelling of 4816219200 in words is "four billion, eight hundred sixteen million, two hundred nineteen thousand, two hundred".