13422809337840 has 480 divisors, whose sum is σ = 54915975628800. Its totient is φ = 2869799362560.

The previous prime is 13422809337829. The next prime is 13422809337857. The reversal of 13422809337840 is 4873390822431.

It is a happy number.

13422809337840 is a `hidden beast` number, since 1 + 3 + 4 + 228 + 0 + 9 + 3 + 378 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6677880 + ... + 8452200.

It is an arithmetic number, because the mean of its divisors is an integer number (114408282560).

Almost surely, 2^{13422809337840} is an apocalyptic number.

13422809337840 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 13422809337840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27457987814400).

13422809337840 is an abundant number, since it is smaller than the sum of its proper divisors (41493166290960).

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

13422809337840 is a wasteful number, since it uses less digits than its factorization.

13422809337840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774445 (or 1774436 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 13422809337840 in words is "thirteen trillion, four hundred twenty-two billion, eight hundred nine million, three hundred thirty-seven thousand, eight hundred forty".