21344042200 has 96 divisors (see below), whose sum is σ = 53568446400. Its totient is φ = 7862261760.

The previous prime is 21344042189. The next prime is 21344042207. The reversal of 21344042200 is 224044312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344042207) 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 23 ways as a sum of consecutive naturals, for example, 1116321 + ... + 1135279.

It is an arithmetic number, because the mean of its divisors is an integer number (558004650).

Almost surely, 2^21344042200 is an apocalyptic number.

21344042200 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 21344042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784223200).

21344042200 is an abundant number, since it is smaller than the sum of its proper divisors (32224404200).

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

21344042200 is a wasteful number, since it uses less digits than its factorization.

21344042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19421 (or 19412 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 21344042200 its reverse (224044312), we get a palindrome (21568086512).

The spelling of 21344042200 in words is "twenty-one billion, three hundred forty-four million, forty-two thousand, two hundred".