14008909824 has 680 divisors, whose sum is σ = 53288225760. Its totient is φ = 3567255552.

The previous prime is 14008909813. The next prime is 14008909829. The reversal of 14008909824 is 42890980041.

It is a self number, because there is not a number n which added to its sum of digits gives 14008909824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14008909829) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 483065842 + ... + 483065870.

Almost surely, 2^14008909824 is an apocalyptic number.

14008909824 is a gapful number since it is divisible by the number (14) 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 14008909824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26644112880).

14008909824 is an abundant number, since it is smaller than the sum of its proper divisors (39279315936).

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

14008909824 is an frugal number, since it uses more digits than its factorization.

14008909824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

14008909824 divided by its product of nonzero digits (165888) gives a palindrome (84448).

The spelling of 14008909824 in words is "fourteen billion, eight million, nine hundred nine thousand, eight hundred twenty-four".