21330414200 has 96 divisors (see below), whose sum is σ = 51142440960. Its totient is φ = 8269180800.

The previous prime is 21330414143. The next prime is 21330414221. The reversal of 21330414200 is 241403312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957185 + ... + 979215.

It is an arithmetic number, because the mean of its divisors is an integer number (532733760).

Almost surely, 2^21330414200 is an apocalyptic number.

21330414200 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 21330414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25571220480).

21330414200 is an abundant number, since it is smaller than the sum of its proper divisors (29812026760).

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

21330414200 is a wasteful number, since it uses less digits than its factorization.

21330414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22197 (or 22188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21330414200 its reverse (241403312), we get a palindrome (21571817512).

The spelling of 21330414200 in words is "twenty-one billion, three hundred thirty million, four hundred fourteen thousand, two hundred".