14340137820288 has 512 divisors, whose sum is σ = 46525689999360. Its totient is φ = 3824280649728.

The previous prime is 14340137820259. The next prime is 14340137820289. The reversal of 14340137820288 is 88202873104341.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14340137820288.

It is not an unprimeable number, because it can be changed into a prime (14340137820289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3969037170 + ... + 3969040782.

It is an arithmetic number, because the mean of its divisors is an integer number (90870488280).

Almost surely, 2^{14340137820288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14340137820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23262844999680).

14340137820288 is an abundant number, since it is smaller than the sum of its proper divisors (32185552179072).

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

14340137820288 is a wasteful number, since it uses less digits than its factorization.

14340137820288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 14340137820288 in words is "fourteen trillion, three hundred forty billion, one hundred thirty-seven million, eight hundred twenty thousand, two hundred eighty-eight".