214043040200 has 192 divisors, whose sum is σ = 562284011520. Its totient is φ = 75070368000.

The previous prime is 214043040187. The next prime is 214043040223. The reversal of 214043040200 is 2040340412.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 20932289 + ... + 20942511.

It is an arithmetic number, because the mean of its divisors is an integer number (2928562560).

Almost surely, 2^214043040200 is an apocalyptic number.

214043040200 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 214043040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281142005760).

214043040200 is an abundant number, since it is smaller than the sum of its proper divisors (348240971320).

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

214043040200 is a wasteful number, since it uses less digits than its factorization.

214043040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588 (or 10579 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 214043040200 its reverse (2040340412), we get a palindrome (216083380612).

The spelling of 214043040200 in words is "two hundred fourteen billion, forty-three million, forty thousand, two hundred".