14073808320 has 560 divisors, whose sum is σ = 58830776928. Its totient is φ = 3148554240.

The previous prime is 14073808319. The next prime is 14073808321. The reversal of 14073808320 is 2380837041.

It is an interprime number because it is at equal distance from previous prime (14073808319) and next prime (14073808321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14073808321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3704662 + ... + 3708458.

Almost surely, 2^14073808320 is an apocalyptic number.

14073808320 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 14073808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29415388464).

14073808320 is an abundant number, since it is smaller than the sum of its proper divisors (44756968608).

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

14073808320 is a wasteful number, since it uses less digits than its factorization.

14073808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14073808320 in words is "fourteen billion, seventy-three million, eight hundred eight thousand, three hundred twenty".