11441340040 has 64 divisors (see below), whose sum is σ = 27838586160. Its totient is φ = 4206919680.

The previous prime is 11441340007. The next prime is 11441340077. The reversal of 11441340040 is 4004314411.

It can be written as a sum of positive squares in 8 ways, for example, as 4189455076 + 7251884964 = 64726^2 + 85158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11441339993 and 11441340020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79672 + ... + 170968.

Almost surely, 2^11441340040 is an apocalyptic number.

11441340040 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 11441340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13919293080).

11441340040 is an abundant number, since it is smaller than the sum of its proper divisors (16397246120).

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

11441340040 is a wasteful number, since it uses less digits than its factorization.

11441340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91562 (or 91558 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11441340040 its reverse (4004314411), we get a palindrome (15445654451).

The spelling of 11441340040 in words is "eleven billion, four hundred forty-one million, three hundred forty thousand, forty".