13409217360 has 640 divisors, whose sum is σ = 59167641600. Its totient is φ = 2709780480.

The previous prime is 13409217317. The next prime is 13409217361. The reversal of 13409217360 is 6371290431.

13409217360 is a `hidden beast` number, since 1 + 3 + 409 + 217 + 36 + 0 = 666.

It is a super-2 number, since 2×13409217360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13409217361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6152751 + ... + 6154929.

It is an arithmetic number, because the mean of its divisors is an integer number (92449440).

Almost surely, 2^13409217360 is an apocalyptic number.

13409217360 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 13409217360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29583820800).

13409217360 is an abundant number, since it is smaller than the sum of its proper divisors (45758424240).

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

13409217360 is a wasteful number, since it uses less digits than its factorization.

13409217360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13409217360 in words is "thirteen billion, four hundred nine million, two hundred seventeen thousand, three hundred sixty".