13344133440 has 224 divisors, whose sum is σ = 46556858880. Its totient is φ = 3211315200.

The previous prime is 13344133423. The next prime is 13344133549. The reversal of 13344133440 is 4433144331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13344133398 and 13344133407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1463295 + ... + 1472385.

It is an arithmetic number, because the mean of its divisors is an integer number (207843120).

Almost surely, 2^13344133440 is an apocalyptic number.

13344133440 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 13344133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23278429440).

13344133440 is an abundant number, since it is smaller than the sum of its proper divisors (33212725440).

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

13344133440 is a wasteful number, since it uses less digits than its factorization.

13344133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9261 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13344133440 its reverse (4433144331), we get a palindrome (17777277771).

The spelling of 13344133440 in words is "thirteen billion, three hundred forty-four million, one hundred thirty-three thousand, four hundred forty".