11144444040 has 192 divisors, whose sum is σ = 36635554800. Its totient is φ = 2937931776.

The previous prime is 11144444033. The next prime is 11144444083. The reversal of 11144444040 is 4044444111.

It can be written as a sum of positive squares in 8 ways, for example, as 4227860484 + 6916583556 = 65022^2 + 83166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11144443995 and 11144444013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15203514 + ... + 15204246.

Almost surely, 2^11144444040 is an apocalyptic number.

11144444040 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 11144444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317777400).

11144444040 is an abundant number, since it is smaller than the sum of its proper divisors (25491110760).

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

11144444040 is a wasteful number, since it uses less digits than its factorization.

11144444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 11144444040 its reverse (4044444111), we get a palindrome (15188888151).

The spelling of 11144444040 in words is "eleven billion, one hundred forty-four million, four hundred forty-four thousand, forty".