13409843328000 has 1056 divisors, whose sum is σ = 57654958308480. Its totient is φ = 3065068339200.

The previous prime is 13409843327989. The next prime is 13409843328001. The reversal of 13409843328000 is 82334890431.

13409843328000 is a `hidden beast` number, since 13 + 40 + 98 + 433 + 2 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×13409843328000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13409843328001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169304407 + ... + 169383593.

Almost surely, 2^{13409843328000} is an apocalyptic number.

13409843328000 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 13409843328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28827479154240).

13409843328000 is an abundant number, since it is smaller than the sum of its proper divisors (44245114980480).

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

13409843328000 is an equidigital number, since it uses as much as digits as its factorization.

13409843328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79245 (or 79204 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13409843328000 in words is "thirteen trillion, four hundred nine billion, eight hundred forty-three million, three hundred twenty-eight thousand".