11405306440 has 32 divisors (see below), whose sum is σ = 27994844160. Its totient is φ = 4147384000.

The previous prime is 11405306411. The next prime is 11405306459. The reversal of 11405306440 is 4460350411.

11405306440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11405306399 and 11405306408.

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 7 ways as a sum of consecutive naturals, for example, 12960136 + ... + 12961015.

It is an arithmetic number, because the mean of its divisors is an integer number (874838880).

Almost surely, 2^11405306440 is an apocalyptic number.

11405306440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11405306440 is an abundant number, since it is smaller than the sum of its proper divisors (16589537720).

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

11405306440 is a wasteful number, since it uses less digits than its factorization.

11405306440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25921173 (or 25921169 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 11405306440 its reverse (4460350411), we get a palindrome (15865656851).

The spelling of 11405306440 in words is "eleven billion, four hundred five million, three hundred six thousand, four hundred forty".