14328083390400 has 840 divisors, whose sum is σ = 58547510747264. Its totient is φ = 3413129011200.

The previous prime is 14328083390347. The next prime is 14328083390417. The reversal of 14328083390400 is 409338082341.

14328083390400 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 80 + 83 + 3 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 52091634 + ... + 52365966.

Almost surely, 2^{14328083390400} is an apocalyptic number.

14328083390400 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 14328083390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29273755373632).

14328083390400 is an abundant number, since it is smaller than the sum of its proper divisors (44219427356864).

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

14328083390400 is a wasteful number, since it uses less digits than its factorization.

14328083390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274411 (or 274387 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 14328083390400 in words is "fourteen trillion, three hundred twenty-eight billion, eighty-three million, three hundred ninety thousand, four hundred".