1141133242240 has 128 divisors (see below), whose sum is σ = 2782645125120. Its totient is φ = 447400396800.

The previous prime is 1141133242237. The next prime is 1141133242253. The reversal of 1141133242240 is 422423311411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1141133242199 and 1141133242208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6661665 + ... + 6830815.

It is an arithmetic number, because the mean of its divisors is an integer number (21739415040).

Almost surely, 2^{1141133242240} is an apocalyptic number.

1141133242240 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 1141133242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391322562560).

1141133242240 is an abundant number, since it is smaller than the sum of its proper divisors (1641511882880).

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

1141133242240 is a wasteful number, since it uses less digits than its factorization.

1141133242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169380 (or 169368 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1141133242240 its reverse (422423311411), we get a palindrome (1563556553651).

The spelling of 1141133242240 in words is "one trillion, one hundred forty-one billion, one hundred thirty-three million, two hundred forty-two thousand, two hundred forty".