13320540040 has 96 divisors (see below), whose sum is σ = 31394638080. Its totient is φ = 5081328000.

The previous prime is 13320539971. The next prime is 13320540059. The reversal of 13320540040 is 4004502331.

It is a junction number, because it is equal to n+sod(n) for n = 13320539993 and 13320540020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6249775 + ... + 6251905.

It is an arithmetic number, because the mean of its divisors is an integer number (327027480).

Almost surely, 2^13320540040 is an apocalyptic number.

13320540040 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 13320540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697319040).

13320540040 is an abundant number, since it is smaller than the sum of its proper divisors (18074098040).

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

13320540040 is a wasteful number, since it uses less digits than its factorization.

13320540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The spelling of 13320540040 in words is "thirteen billion, three hundred twenty million, five hundred forty thousand, forty".