13430441440 has 48 divisors (see below), whose sum is σ = 34170147648. Its totient is φ = 4958931456.

The previous prime is 13430441429. The next prime is 13430441447. The reversal of 13430441440 is 4414403431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13430441399 and 13430441408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430441447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3226392 + ... + 3230551.

It is an arithmetic number, because the mean of its divisors is an integer number (711878076).

Almost surely, 2^13430441440 is an apocalyptic number.

13430441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13430441440 is an abundant number, since it is smaller than the sum of its proper divisors (20739706208).

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

13430441440 is a wasteful number, since it uses less digits than its factorization.

13430441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456971 (or 6456963 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13430441440 its reverse (4414403431), we get a palindrome (17844844871).

The spelling of 13430441440 in words is "thirteen billion, four hundred thirty million, four hundred forty-one thousand, four hundred forty".