14000124314240 has 128 divisors (see below), whose sum is σ = 33621713280000. Its totient is φ = 5574563921920.

The previous prime is 14000124314219. The next prime is 14000124314447. The reversal of 14000124314240 is 4241342100041.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123795641 + ... + 123908679.

It is an arithmetic number, because the mean of its divisors is an integer number (262669635000).

Almost surely, 2^{14000124314240} is an apocalyptic number.

14000124314240 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 14000124314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16810856640000).

14000124314240 is an abundant number, since it is smaller than the sum of its proper divisors (19621588965760).

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

14000124314240 is a wasteful number, since it uses less digits than its factorization.

14000124314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113938 (or 113926 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14000124314240 its reverse (4241342100041), we get a palindrome (18241466414281).

The spelling of 14000124314240 in words is "fourteen trillion, one hundred twenty-four million, three hundred fourteen thousand, two hundred forty".