14042014254320 has 320 divisors, whose sum is σ = 36570610581120. Its totient is φ = 4978611585024.

The previous prime is 14042014254311. The next prime is 14042014254353. The reversal of 14042014254320 is 2345241024041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7340309684 + ... + 7340311596.

It is an arithmetic number, because the mean of its divisors is an integer number (114283158066).

Almost surely, 2^{14042014254320} is an apocalyptic number.

14042014254320 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 14042014254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18285305290560).

14042014254320 is an abundant number, since it is smaller than the sum of its proper divisors (22528596326800).

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

14042014254320 is a wasteful number, since it uses less digits than its factorization.

14042014254320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 14042014254320 its reverse (2345241024041), we get a palindrome (16387255278361).

The spelling of 14042014254320 in words is "fourteen trillion, forty-two billion, fourteen million, two hundred fifty-four thousand, three hundred twenty".