13414184320 has 128 divisors (see below), whose sum is σ = 33520586400. Its totient is φ = 5126553600.

The previous prime is 13414184317. The next prime is 13414184323. The reversal of 13414184320 is 2348141431.

It is an interprime number because it is at equal distance from previous prime (13414184317) and next prime (13414184323).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414184323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1796595 + ... + 1804045.

Almost surely, 2^13414184320 is an apocalyptic number.

13414184320 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 13414184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760293200).

13414184320 is an abundant number, since it is smaller than the sum of its proper divisors (20106402080).

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

13414184320 is an equidigital number, since it uses as much as digits as its factorization.

13414184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 13414184320 in words is "thirteen billion, four hundred fourteen million, one hundred eighty-four thousand, three hundred twenty".