13416419324288 has 64 divisors (see below), whose sum is σ = 27321155409600. Its totient is φ = 6559600730112.

The previous prime is 13416419324221. The next prime is 13416419324293. The reversal of 13416419324288 is 88242391461431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5721608 + ... + 7718136.

It is an arithmetic number, because the mean of its divisors is an integer number (426893053275).

Almost surely, 2^{13416419324288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13416419324288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660577704800).

13416419324288 is an abundant number, since it is smaller than the sum of its proper divisors (13904736085312).

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

13416419324288 is a wasteful number, since it uses less digits than its factorization.

13416419324288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997707 (or 1997695 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 56.

The spelling of 13416419324288 in words is "thirteen trillion, four hundred sixteen billion, four hundred nineteen million, three hundred twenty-four thousand, two hundred eighty-eight".