13405340340 has 144 divisors (see below), whose sum is σ = 46532828160. Its totient is φ = 3060057600.

The previous prime is 13405340317. The next prime is 13405340341. The reversal of 13405340340 is 4304350431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405340341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012765 + ... + 1025915.

It is an arithmetic number, because the mean of its divisors is an integer number (323144640).

Almost surely, 2^13405340340 is an apocalyptic number.

13405340340 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 13405340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23266414080).

13405340340 is an abundant number, since it is smaller than the sum of its proper divisors (33127487820).

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

13405340340 is a wasteful number, since it uses less digits than its factorization.

13405340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13982 (or 13977 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13405340340 its reverse (4304350431), we get a palindrome (17709690771).

The spelling of 13405340340 in words is "thirteen billion, four hundred five million, three hundred forty thousand, three hundred forty".