11042444440440 has 512 divisors, whose sum is σ = 44595111168000. Its totient is φ = 2372629045248.

The previous prime is 11042444440387. The next prime is 11042444440477. The reversal of 11042444440440 is 4404444424011.

11042444440440 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 244 + 4 + 4 + 404 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11042444440395 and 11042444440404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106491259 + ... + 106594901.

It is an arithmetic number, because the mean of its divisors is an integer number (87099826500).

Almost surely, 2^{11042444440440} is an apocalyptic number.

11042444440440 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 11042444440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297555584000).

11042444440440 is an abundant number, since it is smaller than the sum of its proper divisors (33552666727560).

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

11042444440440 is a wasteful number, since it uses less digits than its factorization.

11042444440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104516 (or 104506 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 11042444440440 its reverse (4404444424011), we get a palindrome (15446888864451).

The spelling of 11042444440440 in words is "eleven trillion, forty-two billion, four hundred forty-four million, four hundred forty thousand, four hundred forty".