14309391020400 has 720 divisors, whose sum is σ = 58879098829824. Its totient is φ = 3269290429440.

The previous prime is 14309391020389. The next prime is 14309391020417. The reversal of 14309391020400 is 402019390341.

14309391020400 is a `hidden beast` number, since 1 + 430 + 9 + 3 + 9 + 10 + 204 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2991716409 + ... + 2991721191.

Almost surely, 2^{14309391020400} is an apocalyptic number.

14309391020400 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 14309391020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29439549414912).

14309391020400 is an abundant number, since it is smaller than the sum of its proper divisors (44569707809424).

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

14309391020400 is a wasteful number, since it uses less digits than its factorization.

14309391020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 14309391020400 in words is "fourteen trillion, three hundred nine billion, three hundred ninety-one million, twenty thousand, four hundred".