13306827040 has 96 divisors (see below), whose sum is σ = 33889798656. Its totient is φ = 4908334080.

The previous prime is 13306827007. The next prime is 13306827047. The reversal of 13306827040 is 4072860331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13306826987 and 13306827005.

It is not an unprimeable number, because it can be changed into a prime (13306827047) 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 15 ways as a sum of consecutive naturals, for example, 2541225 + ... + 2546455.

It is an arithmetic number, because the mean of its divisors is an integer number (353018736).

Almost surely, 2^13306827040 is an apocalyptic number.

13306827040 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 13306827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16944899328).

13306827040 is an abundant number, since it is smaller than the sum of its proper divisors (20582971616).

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

13306827040 is a wasteful number, since it uses less digits than its factorization.

13306827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 13306827040 in words is "thirteen billion, three hundred six million, eight hundred twenty-seven thousand, forty".