21414444200 has 96 divisors (see below), whose sum is σ = 50402532960. Its totient is φ = 8460576000.

The previous prime is 21414444167. The next prime is 21414444241. The reversal of 21414444200 is 244441412.

It is a self number, because there is not a number n which added to its sum of digits gives 21414444200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10563587 + ... + 10565613.

It is an arithmetic number, because the mean of its divisors is an integer number (525026385).

Almost surely, 2^21414444200 is an apocalyptic number.

21414444200 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 21414444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25201266480).

21414444200 is an abundant number, since it is smaller than the sum of its proper divisors (28988088760).

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

21414444200 is a wasteful number, since it uses less digits than its factorization.

21414444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 21414444200 its reverse (244441412), we get a palindrome (21658885612).

The spelling of 21414444200 in words is "twenty-one billion, four hundred fourteen million, four hundred forty-four thousand, two hundred".