14224100141440 has 128 divisors (see below), whose sum is σ = 38922909030720. Its totient is φ = 4869225185280.

The previous prime is 14224100141423. The next prime is 14224100141441. The reversal of 14224100141440 is 4414100142241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14224100141399 and 14224100141408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224100141441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395064 + ... + 5348296.

Almost surely, 2^{14224100141440} is an apocalyptic number.

14224100141440 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 14224100141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19461454515360).

14224100141440 is an abundant number, since it is smaller than the sum of its proper divisors (24698808889280).

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

14224100141440 is an equidigital number, since it uses as much as digits as its factorization.

14224100141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953900 (or 4953888 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 14224100141440 its reverse (4414100142241), we get a palindrome (18638200283681).

The spelling of 14224100141440 in words is "fourteen trillion, two hundred twenty-four billion, one hundred million, one hundred forty-one thousand, four hundred forty".