20441344200 has 192 divisors, whose sum is σ = 66030059520. Its totient is φ = 5225376000.

The previous prime is 20441344193. The next prime is 20441344201. The reversal of 20441344200 is 244314402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20441344201) 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, 1985065 + ... + 1995335.

It is an arithmetic number, because the mean of its divisors is an integer number (343906560).

Almost surely, 2^20441344200 is an apocalyptic number.

20441344200 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 20441344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33015029760).

20441344200 is an abundant number, since it is smaller than the sum of its proper divisors (45588715320).

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

20441344200 is a wasteful number, since it uses less digits than its factorization.

20441344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20441344200 its reverse (244314402), we get a palindrome (20685658602).

The spelling of 20441344200 in words is "twenty billion, four hundred forty-one million, three hundred forty-four thousand, two hundred".