214430330140 has 96 divisors (see below), whose sum is σ = 488320330176. Its totient is φ = 78624276480.

The previous prime is 214430330137. The next prime is 214430330141. The reversal of 214430330140 is 41033034412.

214430330140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214430330141) 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 31 ways as a sum of consecutive naturals, for example, 30756855 + ... + 30763825.

It is an arithmetic number, because the mean of its divisors is an integer number (5086670106).

Almost surely, 2^214430330140 is an apocalyptic number.

214430330140 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 214430330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244160165088).

214430330140 is an abundant number, since it is smaller than the sum of its proper divisors (273890000036).

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

214430330140 is a wasteful number, since it uses less digits than its factorization.

214430330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7799 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 214430330140 its reverse (41033034412), we get a palindrome (255463364552).

The spelling of 214430330140 in words is "two hundred fourteen billion, four hundred thirty million, three hundred thirty thousand, one hundred forty".