14290798166400 has 384 divisors, whose sum is σ = 54181694649600. Its totient is φ = 3242966261760.

The previous prime is 14290798166389. The next prime is 14290798166503. The reversal of 14290798166400 is 466189709241.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8575834 + ... + 10105766.

It is an arithmetic number, because the mean of its divisors is an integer number (141098163150).

Almost surely, 2^{14290798166400} is an apocalyptic number.

14290798166400 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 14290798166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27090847324800).

14290798166400 is an abundant number, since it is smaller than the sum of its proper divisors (39890896483200).

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

14290798166400 is a wasteful number, since it uses less digits than its factorization.

14290798166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530106 (or 1530089 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 14290798166400 in words is "fourteen trillion, two hundred ninety billion, seven hundred ninety-eight million, one hundred sixty-six thousand, four hundred".