14041355328 has 840 divisors, whose sum is σ = 55937359296. Its totient is φ = 3319142400.

The previous prime is 14041355299. The next prime is 14041355351. The reversal of 14041355328 is 82355314041.

14041355328 is a `hidden beast` number, since 1 + 40 + 41 + 3 + 553 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14041355292 and 14041355301.

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 119 ways as a sum of consecutive naturals, for example, 197765533 + ... + 197765603.

Almost surely, 2^14041355328 is an apocalyptic number.

14041355328 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 14041355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27968679648).

14041355328 is an abundant number, since it is smaller than the sum of its proper divisors (41896003968).

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

14041355328 is a wasteful number, since it uses less digits than its factorization.

14041355328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 14041355328 its reverse (82355314041), we get a palindrome (96396669369).

The spelling of 14041355328 in words is "fourteen billion, forty-one million, three hundred fifty-five thousand, three hundred twenty-eight".