1135321004140 has 96 divisors (see below), whose sum is σ = 2559123705600. Its totient is φ = 421792945920.

The previous prime is 1135321004029. The next prime is 1135321004141. The reversal of 1135321004140 is 414001235311.

It is not an unprimeable number, because it can be changed into a prime (1135321004141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7036491 + ... + 7196029.

It is an arithmetic number, because the mean of its divisors is an integer number (26657538600).

Almost surely, 2^{1135321004140} is an apocalyptic number.

1135321004140 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 1135321004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279561852800).

1135321004140 is an abundant number, since it is smaller than the sum of its proper divisors (1423802701460).

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

1135321004140 is a wasteful number, since it uses less digits than its factorization.

1135321004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159935 (or 159933 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1135321004140 its reverse (414001235311), we get a palindrome (1549322239451).

The spelling of 1135321004140 in words is "one trillion, one hundred thirty-five billion, three hundred twenty-one million, four thousand, one hundred forty".