13440243152336 has 320 divisors, whose sum is σ = 37798334085120. Its totient is φ = 4455483770880.

The previous prime is 13440243152333. The next prime is 13440243152339. The reversal of 13440243152336 is 63325134204431.

13440243152336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13440243152333) and next prime (13440243152339).

It is a junction number, because it is equal to n+sod(n) for n = 13440243152293 and 13440243152302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440243152333) 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, 10662395 + ... + 11856101.

It is an arithmetic number, because the mean of its divisors is an integer number (118119794016).

Almost surely, 2^{13440243152336} is an apocalyptic number.

13440243152336 is a gapful number since it is divisible by the number (16) 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 13440243152336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18899167042560).

13440243152336 is an abundant number, since it is smaller than the sum of its proper divisors (24358090932784).

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

13440243152336 is a wasteful number, since it uses less digits than its factorization.

13440243152336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193802 (or 1193796 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

Adding to 13440243152336 its reverse (63325134204431), we get a palindrome (76765377356767).

The spelling of 13440243152336 in words is "thirteen trillion, four hundred forty billion, two hundred forty-three million, one hundred fifty-two thousand, three hundred thirty-six".