13041432768 has 672 divisors, whose sum is σ = 47572793856. Its totient is φ = 3059122176.

The previous prime is 13041432737. The next prime is 13041432779. The reversal of 13041432768 is 86723414031.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157125655 + ... + 157125737.

It is an arithmetic number, because the mean of its divisors is an integer number (70792848).

Almost surely, 2^13041432768 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 13041432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23786396928).

13041432768 is an abundant number, since it is smaller than the sum of its proper divisors (34531361088).

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

13041432768 is a wasteful number, since it uses less digits than its factorization.

13041432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

Adding to 13041432768 its reverse (86723414031), we get a palindrome (99764846799).

The spelling of 13041432768 in words is "thirteen billion, forty-one million, four hundred thirty-two thousand, seven hundred sixty-eight".