13504343040 has 264 divisors, whose sum is σ = 49547553120. Its totient is φ = 3389128704.

The previous prime is 13504342961. The next prime is 13504343077. The reversal of 13504343040 is 4034340531.

13504343040 is a `hidden beast` number, since 1 + 350 + 4 + 3 + 4 + 304 + 0 = 666.

It is a super-3 number, since 3×13504343040³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13504342995 and 13504343013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774741 + ... + 791979.

Almost surely, 2^13504343040 is an apocalyptic number.

13504343040 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 13504343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24773776560).

13504343040 is an abundant number, since it is smaller than the sum of its proper divisors (36043210080).

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

13504343040 is a wasteful number, since it uses less digits than its factorization.

13504343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17287 (or 17266 counting only the distinct ones).

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

Adding to 13504343040 its reverse (4034340531), we get a palindrome (17538683571).

The spelling of 13504343040 in words is "thirteen billion, five hundred four million, three hundred forty-three thousand, forty".