21244141300 has 72 divisors (see below), whose sum is σ = 48604354400. Its totient is φ = 8037429120.

The previous prime is 21244141253. The next prime is 21244141301. The reversal of 21244141300 is 314144212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21244141301) by changing a digit.

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, 1213006 + ... + 1230394.

Almost surely, 2^21244141300 is an apocalyptic number.

21244141300 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 21244141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24302177200).

21244141300 is an abundant number, since it is smaller than the sum of its proper divisors (27360213100).

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

21244141300 is a wasteful number, since it uses less digits than its factorization.

21244141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18065 (or 18058 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21244141300 its reverse (314144212), we get a palindrome (21558285512).

The spelling of 21244141300 in words is "twenty-one billion, two hundred forty-four million, one hundred forty-one thousand, three hundred".