14170824098340 has 192 divisors, whose sum is σ = 48840717090816. Its totient is φ = 2989528339968.

The previous prime is 14170824098303. The next prime is 14170824098423. The reversal of 14170824098340 is 4389042807141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46492879 + ... + 46796681.

It is an arithmetic number, because the mean of its divisors is an integer number (254378734848).

Almost surely, 2^{14170824098340} is an apocalyptic number.

14170824098340 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 14170824098340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24420358545408).

14170824098340 is an abundant number, since it is smaller than the sum of its proper divisors (34669892992476).

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

14170824098340 is a wasteful number, since it uses less digits than its factorization.

14170824098340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312378 (or 312376 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 14170824098340 in words is "fourteen trillion, one hundred seventy billion, eight hundred twenty-four million, ninety-eight thousand, three hundred forty".