14448242822400 has 648 divisors, whose sum is σ = 53025184046016. Its totient is φ = 3751111065600.

The previous prime is 14448242822311. The next prime is 14448242822401. The reversal of 14448242822400 is 422824284441.

14448242822400 is a `hidden beast` number, since 14 + 4 + 482 + 42 + 82 + 2 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14448242822401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1187878719 + ... + 1187890881.

Almost surely, 2^{14448242822400} is an apocalyptic number.

14448242822400 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 14448242822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26512592023008).

14448242822400 is an abundant number, since it is smaller than the sum of its proper divisors (38576941223616).

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

14448242822400 is a wasteful number, since it uses less digits than its factorization.

14448242822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12739 (or 12717 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 45.

The spelling of 14448242822400 in words is "fourteen trillion, four hundred forty-eight billion, two hundred forty-two million, eight hundred twenty-two thousand, four hundred".