21414209468200 has 48 divisors (see below), whose sum is σ = 49923699410880. Its totient is φ = 8542344020160.

The previous prime is 21414209468191. The next prime is 21414209468233. The reversal of 21414209468200 is 286490241412.

It is a super-2 number, since 2×21414209468200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145799962 + ... + 145946761.

It is an arithmetic number, because the mean of its divisors is an integer number (1040077071060).

Almost surely, 2^{21414209468200} is an apocalyptic number.

21414209468200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21414209468200 is an abundant number, since it is smaller than the sum of its proper divisors (28509489942680).

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

21414209468200 is a wasteful number, since it uses less digits than its factorization.

21414209468200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291747106 (or 291747097 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 21414209468200 in words is "twenty-one trillion, four hundred fourteen billion, two hundred nine million, four hundred sixty-eight thousand, two hundred".