200244442400 has 144 divisors (see below), whose sum is σ = 501970996800. Its totient is φ = 77973826560.

The previous prime is 200244442393. The next prime is 200244442427. The reversal of 200244442400 is 4244442002.

It is a self number, because there is not a number n which added to its sum of digits gives 200244442400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4841006 + ... + 4882194.

It is an arithmetic number, because the mean of its divisors is an integer number (3485909700).

Almost surely, 2^200244442400 is an apocalyptic number.

200244442400 is a gapful number since it is divisible by the number (20) 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 200244442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250985498400).

200244442400 is an abundant number, since it is smaller than the sum of its proper divisors (301726554400).

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

200244442400 is a wasteful number, since it uses less digits than its factorization.

200244442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41371 (or 41358 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 200244442400 its reverse (4244442002), we get a palindrome (204488884402).

The spelling of 200244442400 in words is "two hundred billion, two hundred forty-four million, four hundred forty-two thousand, four hundred".