214040241300 has 144 divisors (see below), whose sum is σ = 638417263680. Its totient is φ = 55341020160.

The previous prime is 214040241263. The next prime is 214040241313. The reversal of 214040241300 is 3142040412.

214040241300 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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1209274 + ... + 1374926.

It is an arithmetic number, because the mean of its divisors is an integer number (4433453220).

Almost surely, 2^214040241300 is an apocalyptic number.

214040241300 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 214040241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319208631840).

214040241300 is an abundant number, since it is smaller than the sum of its proper divisors (424377022380).

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

214040241300 is a wasteful number, since it uses less digits than its factorization.

214040241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165802 (or 165795 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 214040241300 its reverse (3142040412), we get a palindrome (217182281712).

The spelling of 214040241300 in words is "two hundred fourteen billion, forty million, two hundred forty-one thousand, three hundred".