13321341440 has 160 divisors (see below), whose sum is σ = 36894585024. Its totient is φ = 4559011840.

The previous prime is 13321341431. The next prime is 13321341443. The reversal of 13321341440 is 4414312331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×13321341440³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13321341443) 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, 464807 + ... + 492633.

Almost surely, 2^13321341440 is an apocalyptic number.

13321341440 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 13321341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18447292512).

13321341440 is an abundant number, since it is smaller than the sum of its proper divisors (23573243584).

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

13321341440 is a wasteful number, since it uses less digits than its factorization.

13321341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27878 (or 27862 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13321341440 its reverse (4414312331), we get a palindrome (17735653771).

The spelling of 13321341440 in words is "thirteen billion, three hundred twenty-one million, three hundred forty-one thousand, four hundred forty".