14077391328 has 768 divisors, whose sum is σ = 56615086080. Its totient is φ = 3284582400.

The previous prime is 14077391309. The next prime is 14077391351. The reversal of 14077391328 is 82319377041.

14077391328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 35459226 + ... + 35459622.

It is an arithmetic number, because the mean of its divisors is an integer number (73717560).

Almost surely, 2^14077391328 is an apocalyptic number.

14077391328 is a gapful number since it is divisible by the number (18) 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 14077391328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28307543040).

14077391328 is an abundant number, since it is smaller than the sum of its proper divisors (42537694752).

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

14077391328 is a wasteful number, since it uses less digits than its factorization.

14077391328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 14077391328 in words is "fourteen billion, seventy-seven million, three hundred ninety-one thousand, three hundred twenty-eight".