13411629728 has 192 divisors, whose sum is σ = 32546562048. Its totient is φ = 5316157440.

The previous prime is 13411629719. The next prime is 13411629773. The reversal of 13411629728 is 82792611431.

13411629728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 23487683 + ... + 23488253.

It is an arithmetic number, because the mean of its divisors is an integer number (169513344).

Almost surely, 2^13411629728 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 13411629728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273281024).

13411629728 is an abundant number, since it is smaller than the sum of its proper divisors (19134932320).

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

13411629728 is a wasteful number, since it uses less digits than its factorization.

13411629728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The spelling of 13411629728 in words is "thirteen billion, four hundred eleven million, six hundred twenty-nine thousand, seven hundred twenty-eight".