11441181650240 has 112 divisors (see below), whose sum is σ = 27517392524160. Its totient is φ = 4530612172800.

The previous prime is 11441181650201. The next prime is 11441181650257. The reversal of 11441181650240 is 4205618114411.

11441181650240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11441181650194 and 11441181650203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360643019 + ... + 360674741.

It is an arithmetic number, because the mean of its divisors is an integer number (245691004680).

Almost surely, 2^{11441181650240} is an apocalyptic number.

11441181650240 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 11441181650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13758696262080).

11441181650240 is an abundant number, since it is smaller than the sum of its proper divisors (16076210873920).

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

11441181650240 is a wasteful number, since it uses less digits than its factorization.

11441181650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43000 (or 42990 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

Adding to 11441181650240 its reverse (4205618114411), we get a palindrome (15646799764651).

The spelling of 11441181650240 in words is "eleven trillion, four hundred forty-one billion, one hundred eighty-one million, six hundred fifty thousand, two hundred forty".