1132440430320 has 320 divisors, whose sum is σ = 4142377549440. Its totient is φ = 283373862912.

The previous prime is 1132440430313. The next prime is 1132440430333. The reversal of 1132440430320 is 230340442311.

1132440430320 is a `hidden beast` number, since 11 + 324 + 4 + 0 + 4 + 3 + 0 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12328884 + ... + 12420396.

It is an arithmetic number, because the mean of its divisors is an integer number (12944929842).

Almost surely, 2^{1132440430320} is an apocalyptic number.

1132440430320 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 1132440430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071188774720).

1132440430320 is an abundant number, since it is smaller than the sum of its proper divisors (3009937119120).

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

1132440430320 is a wasteful number, since it uses less digits than its factorization.

1132440430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91889 (or 91877 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1132440430320 its reverse (230340442311), we get a palindrome (1362780872631).

The spelling of 1132440430320 in words is "one trillion, one hundred thirty-two billion, four hundred forty million, four hundred thirty thousand, three hundred twenty".