11141331122440 has 32 divisors (see below), whose sum is σ = 25411392224280. Its totient is φ = 4395484058112.

The previous prime is 11141331122437. The next prime is 11141331122447. The reversal of 11141331122440 is 4422113314111.

It can be written as a sum of positive squares in 4 ways, for example, as 6253190407044 + 4888140715396 = 2500638^2 + 2210914^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11141331122399 and 11141331122408.

It is not an unprimeable number, because it can be changed into a prime (11141331122447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1907759259 + ... + 1907765098.

Almost surely, 2^{11141331122440} is an apocalyptic number.

11141331122440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141331122440 is an abundant number, since it is smaller than the sum of its proper divisors (14270061101840).

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

11141331122440 is a wasteful number, since it uses less digits than its factorization.

11141331122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815524441 (or 3815524437 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 11141331122440 its reverse (4422113314111), we get a palindrome (15563444436551).

The spelling of 11141331122440 in words is "eleven trillion, one hundred forty-one billion, three hundred thirty-one million, one hundred twenty-two thousand, four hundred forty".