11141143121440 has 96 divisors (see below), whose sum is σ = 27707569888320. Its totient is φ = 4221707848704.

The previous prime is 11141143121419. The next prime is 11141143121491. The reversal of 11141143121440 is 4412134114111.

It is a junction number, because it is equal to n+sod(n) for n = 11141143121399 and 11141143121408.

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, 75205522 + ... + 75353518.

It is an arithmetic number, because the mean of its divisors is an integer number (288620519670).

Almost surely, 2^{11141143121440} is an apocalyptic number.

11141143121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141143121440 is an abundant number, since it is smaller than the sum of its proper divisors (16566426766880).

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

11141143121440 is a wasteful number, since it uses less digits than its factorization.

11141143121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172794 (or 172786 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 11141143121440 its reverse (4412134114111), we get a palindrome (15553277235551).

The spelling of 11141143121440 in words is "eleven trillion, one hundred forty-one billion, one hundred forty-three million, one hundred twenty-one thousand, four hundred forty".