11405440305 has 80 divisors (see below), whose sum is σ = 24171966720. Its totient is φ = 5034089088.

The previous prime is 11405440283. The next prime is 11405440331. The reversal of 11405440305 is 50304450411.

It is a happy number.

11405440305 is a `hidden beast` number, since 114 + 0 + 544 + 0 + 3 + 0 + 5 = 666.

11405440305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11405440305 - 2¹² = 11405436209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 79 ways as a sum of consecutive naturals, for example, 12852 + ... + 151578.

It is an arithmetic number, because the mean of its divisors is an integer number (302149584).

Almost surely, 2^11405440305 is an apocalyptic number.

11405440305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11405440305 is an abundant number, since it is smaller than the sum of its proper divisors (12766526415).

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

11405440305 is a wasteful number, since it uses less digits than its factorization.

11405440305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138780 (or 138771 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 11405440305 its reverse (50304450411), we get a palindrome (61709890716).

It can be divided in two parts, 1140 and 5440305, that added together give a palindrome (5441445).

The spelling of 11405440305 in words is "eleven billion, four hundred five million, four hundred forty thousand, three hundred five".