14224231443240 has 576 divisors, whose sum is σ = 57267758471040. Its totient is φ = 2998102947840.

The previous prime is 14224231443221. The next prime is 14224231443251. The reversal of 14224231443240 is 4234413242241.

14224231443240 is a `hidden beast` number, since 1 + 4 + 22 + 42 + 314 + 43 + 240 = 666.

It is a super-3 number, since 3×14224231443240³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14224231443195 and 14224231443204.

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 143 ways as a sum of consecutive naturals, for example, 431399955 + ... + 431432925.

It is an arithmetic number, because the mean of its divisors is an integer number (99423191790).

Almost surely, 2^{14224231443240} is an apocalyptic number.

14224231443240 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 14224231443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28633879235520).

14224231443240 is an abundant number, since it is smaller than the sum of its proper divisors (43043527027800).

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

14224231443240 is a wasteful number, since it uses less digits than its factorization.

14224231443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34034 (or 34014 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14224231443240 its reverse (4234413242241), we get a palindrome (18458644685481).

The spelling of 14224231443240 in words is "fourteen trillion, two hundred twenty-four billion, two hundred thirty-one million, four hundred forty-three thousand, two hundred forty".