21431414200 has 72 divisors (see below), whose sum is σ = 57963254400. Its totient is φ = 7347910080.

The previous prime is 21431414197. The next prime is 21431414203. The reversal of 21431414200 is 241413412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21431414197) and next prime (21431414203).

It is a super-2 number, since 2×21431414200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21431414203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1083640 + ... + 1103239.

It is an arithmetic number, because the mean of its divisors is an integer number (805045200).

Almost surely, 2^21431414200 is an apocalyptic number.

21431414200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21431414200 is an abundant number, since it is smaller than the sum of its proper divisors (36531840200).

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

21431414200 is a wasteful number, since it uses less digits than its factorization.

21431414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186909 (or 2186893 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21431414200 its reverse (241413412), we get a palindrome (21672827612).

The spelling of 21431414200 in words is "twenty-one billion, four hundred thirty-one million, four hundred fourteen thousand, two hundred".