14213123334240 has 192 divisors, whose sum is σ = 44924177491200. Its totient is φ = 3777239439360.

The previous prime is 14213123334229. The next prime is 14213123334247. The reversal of 14213123334240 is 4243332131241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213123334247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 319438395 + ... + 319482885.

It is an arithmetic number, because the mean of its divisors is an integer number (233980091100).

Almost surely, 2^{14213123334240} is an apocalyptic number.

14213123334240 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 14213123334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22462088745600).

14213123334240 is an abundant number, since it is smaller than the sum of its proper divisors (30711054156960).

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

14213123334240 is a wasteful number, since it uses less digits than its factorization.

14213123334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46765 (or 46757 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 14213123334240 its reverse (4243332131241), we get a palindrome (18456455465481).

The spelling of 14213123334240 in words is "fourteen trillion, two hundred thirteen billion, one hundred twenty-three million, three hundred thirty-four thousand, two hundred forty".