14001408068000 has 48 divisors (see below), whose sum is σ = 34401459632904. Its totient is φ = 5600563225600.

The previous prime is 14001408067979. The next prime is 14001408068023. The reversal of 14001408068000 is 86080410041.

It can be written as a sum of positive squares in 4 ways, for example, as 9251257561744 + 4750150506256 = 3041588^2 + 2179484^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1750172009 + ... + 1750180008.

Almost surely, 2^{14001408068000} is an apocalyptic number.

14001408068000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001408068000 is an abundant number, since it is smaller than the sum of its proper divisors (20400051564904).

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

14001408068000 is an equidigital number, since it uses as much as digits as its factorization.

14001408068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500352042 (or 3500352024 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

Adding to 14001408068000 its reverse (86080410041), we get a palindrome (14087488478041).

The spelling of 14001408068000 in words is "fourteen trillion, one billion, four hundred eight million, sixty-eight thousand".