14352133341440 has 288 divisors, whose sum is σ = 34892447436000. Its totient is φ = 5655775150080.

The previous prime is 14352133341439. The next prime is 14352133341443. The reversal of 14352133341440 is 4414333125341.

It can be written as a sum of positive squares in 16 ways, for example, as 4262209798144 + 10089923543296 = 2064512^2 + 3176464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14352133341394 and 14352133341403.

It is not an unprimeable number, because it can be changed into a prime (14352133341443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16290729800 + ... + 16290730680.

It is an arithmetic number, because the mean of its divisors is an integer number (121154331375).

Almost surely, 2^{14352133341440} is an apocalyptic number.

14352133341440 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 14352133341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17446223718000).

14352133341440 is an abundant number, since it is smaller than the sum of its proper divisors (20540314094560).

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

14352133341440 is a wasteful number, since it uses less digits than its factorization.

14352133341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

Adding to 14352133341440 its reverse (4414333125341), we get a palindrome (18766466466781).

The spelling of 14352133341440 in words is "fourteen trillion, three hundred fifty-two billion, one hundred thirty-three million, three hundred forty-one thousand, four hundred forty".