13440114304 has 64 divisors (see below), whose sum is σ = 27222078240. Its totient is φ = 6608659456.

The previous prime is 13440114301. The next prime is 13440114353. The reversal of 13440114304 is 40341104431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×13440114304³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13440114301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2408862 + ... + 2414434.

Almost surely, 2^13440114304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13440114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611039120).

13440114304 is an abundant number, since it is smaller than the sum of its proper divisors (13781963936).

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

13440114304 is an equidigital number, since it uses as much as digits as its factorization.

13440114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13440114304 its reverse (40341104431), we get a palindrome (53781218735).

The spelling of 13440114304 in words is "thirteen billion, four hundred forty million, one hundred fourteen thousand, three hundred four".