14033441304144 has 30 divisors (see below), whose sum is σ = 39274144761306. Its totient is φ = 4677813768000.

The previous prime is 14033441304139. The next prime is 14033441304191. The reversal of 14033441304144 is 44140314433041.

14033441304144 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 344 + 1 + 304 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13889694164544 + 143747139600 = 3726888^2 + 379140^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14033441304099 and 14033441304108.

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 5 ways as a sum of consecutive naturals, for example, 48727226607 + ... + 48727226894.

Almost surely, 2^{14033441304144} is an apocalyptic number.

It is an amenable number.

14033441304144 is an abundant number, since it is smaller than the sum of its proper divisors (25240703457162).

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

14033441304144 is a wasteful number, since it uses less digits than its factorization.

14033441304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97454453515 (or 97454453506 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14033441304144 its reverse (44140314433041), we get a palindrome (58173755737185).

The spelling of 14033441304144 in words is "fourteen trillion, thirty-three billion, four hundred forty-one million, three hundred four thousand, one hundred forty-four".