1132441211430 has 256 divisors, whose sum is σ = 3224593981440. Its totient is φ = 282169046016.

The previous prime is 1132441211423. The next prime is 1132441211431. The reversal of 1132441211430 is 341121442311.

It is a happy number.

1132441211430 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 441 + 211 + 4 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1132441211394 and 1132441211403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132441211431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76679907 + ... + 76694673.

It is an arithmetic number, because the mean of its divisors is an integer number (12596070240).

Almost surely, 2^{1132441211430} is an apocalyptic number.

1132441211430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132441211430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612296990720).

1132441211430 is an abundant number, since it is smaller than the sum of its proper divisors (2092152770010).

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

1132441211430 is a wasteful number, since it uses less digits than its factorization.

1132441211430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15092 (or 15086 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1132441211430 its reverse (341121442311), we get a palindrome (1473562653741).

The spelling of 1132441211430 in words is "one trillion, one hundred thirty-two billion, four hundred forty-one million, two hundred eleven thousand, four hundred thirty".