11265010440 has 32 divisors (see below), whose sum is σ = 33795031680. Its totient is φ = 3004002752.

The previous prime is 11265010387. The next prime is 11265010447. The reversal of 11265010440 is 4401056211.

It is a happy number.

11265010440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11265010440.

It is not an unprimeable number, because it can be changed into a prime (11265010447) by changing a digit.

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, 46937424 + ... + 46937663.

It is an arithmetic number, because the mean of its divisors is an integer number (1056094740).

Almost surely, 2^11265010440 is an apocalyptic number.

11265010440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11265010440 is an abundant number, since it is smaller than the sum of its proper divisors (22530021240).

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

11265010440 is a wasteful number, since it uses less digits than its factorization.

11265010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93875101 (or 93875097 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11265010440 its reverse (4401056211), we get a palindrome (15666066651).

The spelling of 11265010440 in words is "eleven billion, two hundred sixty-five million, ten thousand, four hundred forty".