11441612440 has 64 divisors (see below), whose sum is σ = 27133963200. Its totient is φ = 4335432192.

The previous prime is 11441612431. The next prime is 11441612449. The reversal of 11441612440 is 4421614411.

11441612440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11441612431) and next prime (11441612449).

It is a junction number, because it is equal to n+sod(n) for n = 11441612399 and 11441612408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441612449) 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 15 ways as a sum of consecutive naturals, for example, 31572 + ... + 154531.

It is an arithmetic number, because the mean of its divisors is an integer number (423968175).

Almost surely, 2^11441612440 is an apocalyptic number.

11441612440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11441612440 is an abundant number, since it is smaller than the sum of its proper divisors (15692350760).

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

11441612440 is a wasteful number, since it uses less digits than its factorization.

11441612440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186196 (or 186192 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 11441612440 in words is "eleven billion, four hundred forty-one million, six hundred twelve thousand, four hundred forty".