13311440304040 has 16 divisors (see below), whose sum is σ = 29950740684180. Its totient is φ = 5324576121600.

The previous prime is 13311440304017. The next prime is 13311440304059. The reversal of 13311440304040 is 4040304411331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13056934179844 + 254506124196 = 3613438^2 + 504486^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166393003761 + ... + 166393003840.

Almost surely, 2^{13311440304040} is an apocalyptic number.

13311440304040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311440304040 is an abundant number, since it is smaller than the sum of its proper divisors (16639300380140).

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

13311440304040 is a wasteful number, since it uses less digits than its factorization.

13311440304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332786007612 (or 332786007608 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13311440304040 its reverse (4040304411331), we get a palindrome (17351744715371).

The spelling of 13311440304040 in words is "thirteen trillion, three hundred eleven billion, four hundred forty million, three hundred four thousand, forty".