14231324224040 has 256 divisors, whose sum is σ = 40307984640000. Its totient is φ = 4392850682880.

The previous prime is 14231324223973. The next prime is 14231324224043. The reversal of 14231324224040 is 4042242313241.

It is a happy number.

It is a super-2 number, since 2×14231324224040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14231324223988 and 14231324224006.

It is not an unprimeable number, because it can be changed into a prime (14231324224043) 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, 753010511 + ... + 753029409.

It is an arithmetic number, because the mean of its divisors is an integer number (157453065000).

Almost surely, 2^{14231324224040} is an apocalyptic number.

14231324224040 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 14231324224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153992320000).

14231324224040 is an abundant number, since it is smaller than the sum of its proper divisors (26076660415960).

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

14231324224040 is a wasteful number, since it uses less digits than its factorization.

14231324224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21280 (or 21276 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14231324224040 its reverse (4042242313241), we get a palindrome (18273566537281).

The spelling of 14231324224040 in words is "fourteen trillion, two hundred thirty-one billion, three hundred twenty-four million, two hundred twenty-four thousand, forty".