13415419072 has 168 divisors, whose sum is σ = 31248350000. Its totient is φ = 5693276160.

The previous prime is 13415419057. The next prime is 13415419109. The reversal of 13415419072 is 27091451431.

It is a happy number.

13415419072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

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 23 ways as a sum of consecutive naturals, for example, 10740304 + ... + 10741552.

Almost surely, 2^13415419072 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 13415419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624175000).

13415419072 is an abundant number, since it is smaller than the sum of its proper divisors (17832930928).

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

13415419072 is a wasteful number, since it uses less digits than its factorization.

13415419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 13415419072 in words is "thirteen billion, four hundred fifteen million, four hundred nineteen thousand, seventy-two".