13310404404040 has 16 divisors (see below), whose sum is σ = 29948409909180. Its totient is φ = 5324161761600.

The previous prime is 13310404403983. The next prime is 13310404404091. The reversal of 13310404404040 is 4040440401331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11499382873476 + 1811021530564 = 3391074^2 + 1345742^2 .

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 3 ways as a sum of consecutive naturals, for example, 166380055011 + ... + 166380055090.

Almost surely, 2^{13310404404040} is an apocalyptic number.

13310404404040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310404404040 is an abundant number, since it is smaller than the sum of its proper divisors (16638005505140).

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

13310404404040 is a wasteful number, since it uses less digits than its factorization.

13310404404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332760110112 (or 332760110108 counting only the distinct ones).

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

Adding to 13310404404040 its reverse (4040440401331), we get a palindrome (17350844805371).

The spelling of 13310404404040 in words is "thirteen trillion, three hundred ten billion, four hundred four million, four hundred four thousand, forty".