13330242330040 has 128 divisors (see below), whose sum is σ = 31441692447360. Its totient is φ = 5076739160064.

The previous prime is 13330242329981. The next prime is 13330242330133. The reversal of 13330242330040 is 4003324203331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13330242329990 and 13330242330008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258127102 + ... + 258178738.

It is an arithmetic number, because the mean of its divisors is an integer number (245638222245).

Almost surely, 2^{13330242330040} is an apocalyptic number.

13330242330040 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 13330242330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720846223680).

13330242330040 is an abundant number, since it is smaller than the sum of its proper divisors (18111450117320).

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

13330242330040 is a wasteful number, since it uses less digits than its factorization.

13330242330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52961 (or 52957 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 13330242330040 its reverse (4003324203331), we get a palindrome (17333566533371).

The spelling of 13330242330040 in words is "thirteen trillion, three hundred thirty billion, two hundred forty-two million, three hundred thirty thousand, forty".