11441728305 has 160 divisors (see below), whose sum is σ = 23948939520. Its totient is φ = 5118474240.

The previous prime is 11441728289. The next prime is 11441728321. The reversal of 11441728305 is 50382714411.

It is an interprime number because it is at equal distance from previous prime (11441728289) and next prime (11441728321).

It is not a de Polignac number, because 11441728305 - 2⁴ = 11441728289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11441728305.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34566990 + ... + 34567320.

It is an arithmetic number, because the mean of its divisors is an integer number (149680872).

Almost surely, 2^11441728305 is an apocalyptic number.

11441728305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11441728305 is an abundant number, since it is smaller than the sum of its proper divisors (12507211215).

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

11441728305 is a wasteful number, since it uses less digits than its factorization.

11441728305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11441728305 in words is "eleven billion, four hundred forty-one million, seven hundred twenty-eight thousand, three hundred five".