214241140200 has 96 divisors (see below), whose sum is σ = 666154640160. Its totient is φ = 56958316800.

The previous prime is 214241140199. The next prime is 214241140207. The reversal of 214241140200 is 2041142412.

214241140200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×214241140200³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214241140207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340779 + ... + 737978.

It is an arithmetic number, because the mean of its divisors is an integer number (6939110835).

Almost surely, 2^214241140200 is an apocalyptic number.

214241140200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214241140200 is an abundant number, since it is smaller than the sum of its proper divisors (451913499960).

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

214241140200 is a wasteful number, since it uses less digits than its factorization.

214241140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079107 (or 1079098 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 214241140200 its reverse (2041142412), we get a palindrome (216282282612).

The spelling of 214241140200 in words is "two hundred fourteen billion, two hundred forty-one million, one hundred forty thousand, two hundred".