14428573286400 has 3240 divisors, whose sum is σ = 67174876991040. Its totient is φ = 2992672604160.

The previous prime is 14428573286371. The next prime is 14428573286417. The reversal of 14428573286400 is 468237582441.

14428573286400 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 8 + 573 + 2 + 8 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

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 215 ways as a sum of consecutive naturals, for example, 244552089571 + ... + 244552089629.

Almost surely, 2^{14428573286400} is an apocalyptic number.

14428573286400 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 14428573286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33587438495520).

14428573286400 is an abundant number, since it is smaller than the sum of its proper divisors (52746303704640).

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

14428573286400 is an frugal number, since it uses more digits than its factorization.

14428573286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 14428573286400 in words is "fourteen trillion, four hundred twenty-eight billion, five hundred seventy-three million, two hundred eighty-six thousand, four hundred".