21412144200 has 384 divisors, whose sum is σ = 71584704000. Its totient is φ = 5283532800.

The previous prime is 21412144189. The next prime is 21412144207. The reversal of 21412144200 is 244121412.

It is not an unprimeable number, because it can be changed into a prime (21412144207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50859990 + ... + 50860410.

It is an arithmetic number, because the mean of its divisors is an integer number (186418500).

Almost surely, 2^21412144200 is an apocalyptic number.

21412144200 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 21412144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35792352000).

21412144200 is an abundant number, since it is smaller than the sum of its proper divisors (50172559800).

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

21412144200 is a wasteful number, since it uses less digits than its factorization.

21412144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21412144200 its reverse (244121412), we get a palindrome (21656265612).

The spelling of 21412144200 in words is "twenty-one billion, four hundred twelve million, one hundred forty-four thousand, two hundred".