20344243301200 has 360 divisors, whose sum is σ = 62069415120888. Its totient is φ = 6350411612160.

The previous prime is 20344243301183. The next prime is 20344243301203. The reversal of 20344243301200 is 210334244302.

It can be written as a sum of positive squares in 12 ways, for example, as 14679043592976 + 5665199708224 = 3831324^2 + 2380168^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344243301203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18053524 + ... + 19147276.

Almost surely, 2^{20344243301200} is an apocalyptic number.

20344243301200 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 20344243301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31034707560444).

20344243301200 is an abundant number, since it is smaller than the sum of its proper divisors (41725171819688).

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

20344243301200 is a wasteful number, since it uses less digits than its factorization.

20344243301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093871 (or 1093853 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 20344243301200 its reverse (210334244302), we get a palindrome (20554577545502).

The spelling of 20344243301200 in words is "twenty trillion, three hundred forty-four billion, two hundred forty-three million, three hundred one thousand, two hundred".