13384338557040 has 1440 divisors, whose sum is σ = 53300269189440. Its totient is φ = 3001232424960.

The previous prime is 13384338557017. The next prime is 13384338557089. The reversal of 13384338557040 is 4075583348331.

13384338557040 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 43 + 3 + 8 + 557 + 0 + 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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6263142852 + ... + 6263144988.

It is an arithmetic number, because the mean of its divisors is an integer number (37014075826).

Almost surely, 2^{13384338557040} is an apocalyptic number.

13384338557040 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 13384338557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650134594720).

13384338557040 is an abundant number, since it is smaller than the sum of its proper divisors (39915930632400).

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

13384338557040 is a wasteful number, since it uses less digits than its factorization.

13384338557040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 13384338557040 in words is "thirteen trillion, three hundred eighty-four billion, three hundred thirty-eight million, five hundred fifty-seven thousand, forty".