14340117792000 has 2304 divisors, whose sum is σ = 64402977300480. Its totient is φ = 2747437056000.

The previous prime is 14340117791983. The next prime is 14340117792097. The reversal of 14340117792000 is 29771104341.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14340117792000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16240223559 + ... + 16240224441.

It is an arithmetic number, because the mean of its divisors is an integer number (27952681120).

Almost surely, 2^{14340117792000} is an apocalyptic number.

14340117792000 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 14340117792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32201488650240).

14340117792000 is an abundant number, since it is smaller than the sum of its proper divisors (50062859508480).

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

14340117792000 is an equidigital number, since it uses as much as digits as its factorization.

14340117792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

Adding to 14340117792000 its reverse (29771104341), we get a palindrome (14369888896341).

The spelling of 14340117792000 in words is "fourteen trillion, three hundred forty billion, one hundred seventeen million, seven hundred ninety-two thousand".