4244242300200 has 864 divisors, whose sum is σ = 17098638429600. Its totient is φ = 940254981120.

The previous prime is 4244242300163. The next prime is 4244242300273. The reversal of 4244242300200 is 20032424424.

4244242300200 is a `hidden beast` number, since 4 + 2 + 4 + 424 + 2 + 30 + 0 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 387986331 + ... + 387997269.

It is an arithmetic number, because the mean of its divisors is an integer number (19790090775).

Almost surely, 2^{4244242300200} is an apocalyptic number.

4244242300200 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 4244242300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549319214800).

4244242300200 is an abundant number, since it is smaller than the sum of its proper divisors (12854396129400).

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

4244242300200 is a wasteful number, since it uses less digits than its factorization.

4244242300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 4244242300200 its reverse (20032424424), we get a palindrome (4264274724624).

The spelling of 4244242300200 in words is "four trillion, two hundred forty-four billion, two hundred forty-two million, three hundred thousand, two hundred".