214414321242200 has 96 divisors (see below), whose sum is σ = 502960496592960. Its totient is φ = 85000726272000.

The previous prime is 214414321242179. The next prime is 214414321242217. The reversal of 214414321242200 is 2242123414412.

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, 326173850 + ... + 326830550.

It is an arithmetic number, because the mean of its divisors is an integer number (5239171839510).

Almost surely, 2^{214414321242200} is an apocalyptic number.

214414321242200 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 214414321242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251480248296480).

214414321242200 is an abundant number, since it is smaller than the sum of its proper divisors (288546175350760).

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

214414321242200 is a wasteful number, since it uses less digits than its factorization.

214414321242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671277 (or 671268 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 214414321242200 its reverse (2242123414412), we get a palindrome (216656444656612).

The spelling of 214414321242200 in words is "two hundred fourteen trillion, four hundred fourteen billion, three hundred twenty-one million, two hundred forty-two thousand, two hundred".