11144305440 has 72 divisors (see below), whose sum is σ = 38029947228. Its totient is φ = 2971814400.

The previous prime is 11144305433. The next prime is 11144305441. The reversal of 11144305440 is 4450344111.

11144305440 is a `hidden beast` number, since 1 + 114 + 4 + 3 + 0 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10982201616 + 162103824 = 104796^2 + 12732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11144305441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3868111 + ... + 3870990.

Almost surely, 2^11144305440 is an apocalyptic number.

11144305440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144305440 is an abundant number, since it is smaller than the sum of its proper divisors (26885641788).

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

11144305440 is a wasteful number, since it uses less digits than its factorization.

11144305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739122 (or 7739111 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11144305440 its reverse (4450344111), we get a palindrome (15594649551).

The spelling of 11144305440 in words is "eleven billion, one hundred forty-four million, three hundred five thousand, four hundred forty".