13344111142340 has 192 divisors, whose sum is σ = 32032561397760. Its totient is φ = 4625402496000.

The previous prime is 13344111142333. The next prime is 13344111142391. The reversal of 13344111142340 is 4324111144331.

It is a happy number.

It is a super-3 number, since 3×13344111142340³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13344111142297 and 13344111142306.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 159593945 + ... + 159677535.

It is an arithmetic number, because the mean of its divisors is an integer number (166836257280).

Almost surely, 2^{13344111142340} is an apocalyptic number.

13344111142340 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 13344111142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016280698880).

13344111142340 is an abundant number, since it is smaller than the sum of its proper divisors (18688450255420).

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

13344111142340 is a wasteful number, since it uses less digits than its factorization.

13344111142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83994 (or 83992 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 13344111142340 its reverse (4324111144331), we get a palindrome (17668222286671).

The spelling of 13344111142340 in words is "thirteen trillion, three hundred forty-four billion, one hundred eleven million, one hundred forty-two thousand, three hundred forty".