214104430132200 has 192 divisors, whose sum is σ = 738139439980800. Its totient is φ = 57042750182400.

The previous prime is 214104430132163. The next prime is 214104430132211. The reversal of 214104430132200 is 2231034401412.

214104430132200 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 4 + 430 + 1 + 3 + 220 + 0 = 666.

It is a super-2 number, since 2×214104430132200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12017041 + ... + 23929440.

It is an arithmetic number, because the mean of its divisors is an integer number (3844476249900).

Almost surely, 2^{214104430132200} is an apocalyptic number.

214104430132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214104430132200 is an abundant number, since it is smaller than the sum of its proper divisors (524035009848600).

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

214104430132200 is a wasteful number, since it uses less digits than its factorization.

214104430132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35947609 (or 35947594 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214104430132200 its reverse (2231034401412), we get a palindrome (216335464533612).

The spelling of 214104430132200 in words is "two hundred fourteen trillion, one hundred four billion, four hundred thirty million, one hundred thirty-two thousand, two hundred".