214200032212140 has 192 divisors, whose sum is σ = 652320816860160. Its totient is φ = 52201693209600.

The previous prime is 214200032212123. The next prime is 214200032212163. The reversal of 214200032212140 is 41212230002412.

It is a self number, because there is not a number n which added to its sum of digits gives 214200032212140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2164746147 + ... + 2164845093.

It is an arithmetic number, because the mean of its divisors is an integer number (3397504254480).

Almost surely, 2^{214200032212140} is an apocalyptic number.

214200032212140 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 214200032212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326160408430080).

214200032212140 is an abundant number, since it is smaller than the sum of its proper divisors (438120784648020).

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

214200032212140 is a wasteful number, since it uses less digits than its factorization.

214200032212140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126552 (or 126550 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214200032212140 its reverse (41212230002412), we get a palindrome (255412262214552).

The spelling of 214200032212140 in words is "two hundred fourteen trillion, two hundred billion, thirty-two million, two hundred twelve thousand, one hundred forty".