21421413200 has 480 divisors, whose sum is σ = 62106739200. Its totient is φ = 7015680000.

The previous prime is 21421413197. The next prime is 21421413229. The reversal of 21421413200 is 231412412.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212093150 + ... + 212093250.

It is an arithmetic number, because the mean of its divisors is an integer number (129389040).

Almost surely, 2^21421413200 is an apocalyptic number.

21421413200 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 21421413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31053369600).

21421413200 is an abundant number, since it is smaller than the sum of its proper divisors (40685326000).

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

21421413200 is a wasteful number, since it uses less digits than its factorization.

21421413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21421413200 its reverse (231412412), we get a palindrome (21652825612).

The spelling of 21421413200 in words is "twenty-one billion, four hundred twenty-one million, four hundred thirteen thousand, two hundred".