13326821907840 has 1536 divisors, whose sum is σ = 57081715891200. Its totient is φ = 2797174259712.

The previous prime is 13326821907829. The next prime is 13326821907863. The reversal of 13326821907840 is 4870912862331.

It is a happy number.

13326821907840 is a `hidden beast` number, since 1 + 332 + 6 + 82 + 190 + 7 + 8 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4512975804 + ... + 4512978756.

It is an arithmetic number, because the mean of its divisors is an integer number (37162575450).

Almost surely, 2^{13326821907840} is an apocalyptic number.

13326821907840 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 13326821907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28540857945600).

13326821907840 is an abundant number, since it is smaller than the sum of its proper divisors (43754893983360).

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

13326821907840 is a wasteful number, since it uses less digits than its factorization.

13326821907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13326821907840 in words is "thirteen trillion, three hundred twenty-six billion, eight hundred twenty-one million, nine hundred seven thousand, eight hundred forty".