11440605120 has 224 divisors, whose sum is σ = 41896588800. Its totient is φ = 2590838784.

The previous prime is 11440605097. The next prime is 11440605131. The reversal of 11440605120 is 2150604411.

It is a happy number.

11440605120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 724671 + ... + 740289.

Almost surely, 2^11440605120 is an apocalyptic number.

11440605120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11440605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20948294400).

11440605120 is an abundant number, since it is smaller than the sum of its proper divisors (30455983680).

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

11440605120 is a wasteful number, since it uses less digits than its factorization.

11440605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15755 (or 15745 counting only the distinct ones).

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

The spelling of 11440605120 in words is "eleven billion, four hundred forty million, six hundred five thousand, one hundred twenty".