14091409969920 has 576 divisors, whose sum is σ = 50813181014400. Its totient is φ = 3743540084736.

The previous prime is 14091409969919. The next prime is 14091409969927. The reversal of 14091409969920 is 2996990419041.

14091409969920 is a `hidden beast` number, since 1 + 409 + 140 + 9 + 9 + 69 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (14091409969927) by changing a digit.

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, 753018484 + ... + 753037196.

It is an arithmetic number, because the mean of its divisors is an integer number (88217328150).

Almost surely, 2^{14091409969920} is an apocalyptic number.

14091409969920 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 14091409969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25406590507200).

14091409969920 is an abundant number, since it is smaller than the sum of its proper divisors (36721771044480).

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

14091409969920 is an frugal number, since it uses more digits than its factorization.

14091409969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19024 (or 18992 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The spelling of 14091409969920 in words is "fourteen trillion, ninety-one billion, four hundred nine million, nine hundred sixty-nine thousand, nine hundred twenty".