21334444200 has 240 divisors, whose sum is σ = 76102463580. Its totient is φ = 5535267840.

The previous prime is 21334444169. The next prime is 21334444211. The reversal of 21334444200 is 244443312.

It is a happy number.

21334444200 is a `hidden beast` number, since 2 + 13 + 3 + 4 + 444 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6698767716 + 14635676484 = 81846^2 + 120978^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 581604 + ... + 617196.

Almost surely, 2^21334444200 is an apocalyptic number.

21334444200 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 21334444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38051231790).

21334444200 is an abundant number, since it is smaller than the sum of its proper divisors (54768019380).

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

21334444200 is a wasteful number, since it uses less digits than its factorization.

21334444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35658 (or 35640 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21334444200 its reverse (244443312), we get a palindrome (21578887512).

The spelling of 21334444200 in words is "twenty-one billion, three hundred thirty-four million, four hundred forty-four thousand, two hundred".