13311440223040 has 112 divisors (see below), whose sum is σ = 32445899893440. Its totient is φ = 5199005306880.

The previous prime is 13311440223017. The next prime is 13311440223047. The reversal of 13311440223040 is 4032204411331.

It is a happy number.

13311440223040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311440223047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41270716 + ... + 41592004.

Almost surely, 2^{13311440223040} is an apocalyptic number.

13311440223040 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 13311440223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16222949946720).

13311440223040 is an abundant number, since it is smaller than the sum of its proper divisors (19134459670400).

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

13311440223040 is a wasteful number, since it uses less digits than its factorization.

13311440223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324360 (or 324350 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13311440223040 its reverse (4032204411331), we get a palindrome (17343644634371).

The spelling of 13311440223040 in words is "thirteen trillion, three hundred eleven billion, four hundred forty million, two hundred twenty-three thousand, forty".