14408450968320 has 1080 divisors, whose sum is σ = 53715457669104. Its totient is φ = 3686442319872.

The previous prime is 14408450968319. The next prime is 14408450968333. The reversal of 14408450968320 is 2386905480441.

14408450968320 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 8 + 450 + 96 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12138542767 + ... + 12138543953.

Almost surely, 2^{14408450968320} is an apocalyptic number.

14408450968320 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 14408450968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26857728834552).

14408450968320 is an abundant number, since it is smaller than the sum of its proper divisors (39307006700784).

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

14408450968320 is an equidigital number, since it uses as much as digits as its factorization.

14408450968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 14408450968320 in words is "fourteen trillion, four hundred eight billion, four hundred fifty million, nine hundred sixty-eight thousand, three hundred twenty".