14214113121340 has 96 divisors (see below), whose sum is σ = 32729368218624. Its totient is φ = 5142430613760.

The previous prime is 14214113121323. The next prime is 14214113121343. The reversal of 14214113121340 is 4312131141241.

It is a junction number, because it is equal to n+sod(n) for n = 14214113121299 and 14214113121308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14214113121343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72464877 + ... + 72660763.

It is an arithmetic number, because the mean of its divisors is an integer number (340930918944).

Almost surely, 2^{14214113121340} is an apocalyptic number.

14214113121340 is a gapful number since it is divisible by the number (10) 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 14214113121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16364684109312).

14214113121340 is an abundant number, since it is smaller than the sum of its proper divisors (18515255097284).

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

14214113121340 is a wasteful number, since it uses less digits than its factorization.

14214113121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197587 (or 197585 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 14214113121340 its reverse (4312131141241), we get a palindrome (18526244262581).

The spelling of 14214113121340 in words is "fourteen trillion, two hundred fourteen billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred forty".