13416042818304 has 1728 divisors, whose sum is σ = 50957520445440. Its totient is φ = 3395262873600.

The previous prime is 13416042818303. The next prime is 13416042818317. The reversal of 13416042818304 is 40381824061431.

13416042818304 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 60 + 4 + 281 + 8 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 13416042818304.

It is not an unprimeable number, because it can be changed into a prime (13416042818303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42862756452 + ... + 42862756764.

Almost surely, 2^{13416042818304} is an apocalyptic number.

13416042818304 is a gapful number since it is divisible by the number (14) 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 13416042818304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25478760222720).

13416042818304 is an abundant number, since it is smaller than the sum of its proper divisors (37541477627136).

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

13416042818304 is a wasteful number, since it uses less digits than its factorization.

13416042818304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

Adding to 13416042818304 its reverse (40381824061431), we get a palindrome (53797866879735).

The spelling of 13416042818304 in words is "thirteen trillion, four hundred sixteen billion, forty-two million, eight hundred eighteen thousand, three hundred four".