13343123144440 has 256 divisors, whose sum is σ = 31594945536000. Its totient is φ = 5065458647040.

The previous prime is 13343123144431. The next prime is 13343123144509. The reversal of 13343123144440 is 4444132134331.

13343123144440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13343123144440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9350471007 + ... + 9350472433.

It is an arithmetic number, because the mean of its divisors is an integer number (123417756000).

Almost surely, 2^{13343123144440} is an apocalyptic number.

13343123144440 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 13343123144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797472768000).

13343123144440 is an abundant number, since it is smaller than the sum of its proper divisors (18251822391560).

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

13343123144440 is a wasteful number, since it uses less digits than its factorization.

13343123144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 13343123144440 its reverse (4444132134331), we get a palindrome (17787255278771).

The spelling of 13343123144440 in words is "thirteen trillion, three hundred forty-three billion, one hundred twenty-three million, one hundred forty-four thousand, four hundred forty".