14022441240240 has 320 divisors, whose sum is σ = 47879796211200. Its totient is φ = 3379012288512.

The previous prime is 14022441240221. The next prime is 14022441240263. The reversal of 14022441240240 is 4204214422041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14022441240198 and 14022441240207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20848239 + ... + 21510321.

It is an arithmetic number, because the mean of its divisors is an integer number (149624363160).

Almost surely, 2^{14022441240240} is an apocalyptic number.

14022441240240 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 14022441240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23939898105600).

14022441240240 is an abundant number, since it is smaller than the sum of its proper divisors (33857354970960).

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

14022441240240 is a wasteful number, since it uses less digits than its factorization.

14022441240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662324 (or 662318 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14022441240240 its reverse (4204214422041), we get a palindrome (18226655662281).

The spelling of 14022441240240 in words is "fourteen trillion, twenty-two billion, four hundred forty-one million, two hundred forty thousand, two hundred forty".