14414003324000 has 384 divisors, whose sum is σ = 40706978457600. Its totient is φ = 4913623296000.

The previous prime is 14414003323987. The next prime is 14414003324009. The reversal of 14414003324000 is 42330041441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414003324009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8892043190 + ... + 8892044810.

It is an arithmetic number, because the mean of its divisors is an integer number (106007756400).

Almost surely, 2^{14414003324000} is an apocalyptic number.

14414003324000 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 14414003324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20353489228800).

14414003324000 is an abundant number, since it is smaller than the sum of its proper divisors (26292975133600).

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

14414003324000 is a wasteful number, since it uses less digits than its factorization.

14414003324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14414003324000 its reverse (42330041441), we get a palindrome (14456333365441).

The spelling of 14414003324000 in words is "fourteen trillion, four hundred fourteen billion, three million, three hundred twenty-four thousand".