14442874444460 has 96 divisors (see below), whose sum is σ = 38238948840960. Its totient is φ = 4451094489600.

The previous prime is 14442874444447. The next prime is 14442874444463. The reversal of 14442874444460 is 6444447824441.

It is a super-3 number, since 3×14442874444460³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14442874444396 and 14442874444405.

It is not an unprimeable number, because it can be changed into a prime (14442874444463) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52551086 + ... + 52825205.

It is an arithmetic number, because the mean of its divisors is an integer number (398322383760).

Almost surely, 2^{14442874444460} is an apocalyptic number.

14442874444460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442874444460 is an abundant number, since it is smaller than the sum of its proper divisors (23796074396500).

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

14442874444460 is a wasteful number, since it uses less digits than its factorization.

14442874444460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105376407 (or 105376405 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 56.

The spelling of 14442874444460 in words is "fourteen trillion, four hundred forty-two billion, eight hundred seventy-four million, four hundred forty-four thousand, four hundred sixty".