14212414101340 has 144 divisors (see below), whose sum is σ = 37141811642880. Its totient is φ = 4472864997120.

The previous prime is 14212414101299. The next prime is 14212414101359. The reversal of 14212414101340 is 4310141421241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14212414101299 and 14212414101308.

It is a congruent number.

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, 2557225 + ... + 5913055.

It is an arithmetic number, because the mean of its divisors is an integer number (257929247520).

Almost surely, 2^{14212414101340} is an apocalyptic number.

14212414101340 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 14212414101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570905821440).

14212414101340 is an abundant number, since it is smaller than the sum of its proper divisors (22929397541540).

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

14212414101340 is a wasteful number, since it uses less digits than its factorization.

14212414101340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356052 (or 3356037 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14212414101340 its reverse (4310141421241), we get a palindrome (18522555522581).

The spelling of 14212414101340 in words is "fourteen trillion, two hundred twelve billion, four hundred fourteen million, one hundred one thousand, three hundred forty".