13209440403360 has 576 divisors, whose sum is σ = 46629325209600. Its totient is φ = 3133963911168.

The previous prime is 13209440403319. The next prime is 13209440403361. The reversal of 13209440403360 is 6330404490231.

It is not an unprimeable number, because it can be changed into a prime (13209440403361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1262485489 + ... + 1262495951.

It is an arithmetic number, because the mean of its divisors is an integer number (80953689600).

Almost surely, 2^{13209440403360} is an apocalyptic number.

13209440403360 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 13209440403360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23314662604800).

13209440403360 is an abundant number, since it is smaller than the sum of its proper divisors (33419884806240).

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

13209440403360 is a wasteful number, since it uses less digits than its factorization.

13209440403360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013 (or 10988 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

Adding to 13209440403360 its reverse (6330404490231), we get a palindrome (19539844893591).

The spelling of 13209440403360 in words is "thirteen trillion, two hundred nine billion, four hundred forty million, four hundred three thousand, three hundred sixty".