1032441431112 has 288 divisors, whose sum is σ = 3523201489080. Its totient is φ = 270716221440.

The previous prime is 1032441431093. The next prime is 1032441431209. The reversal of 1032441431112 is 2111341442301.

It is a happy number.

1032441431112 is a `hidden beast` number, since 1 + 0 + 324 + 4 + 14 + 311 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1014117477156 + 18323953956 = 1007034^2 + 135366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7869412 + ... + 7999532.

Almost surely, 2^{1032441431112} is an apocalyptic number.

1032441431112 is a gapful number since it is divisible by the number (12) 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 1032441431112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761600744540).

1032441431112 is an abundant number, since it is smaller than the sum of its proper divisors (2490760057968).

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

1032441431112 is a wasteful number, since it uses less digits than its factorization.

1032441431112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130333 (or 130319 counting only the distinct ones).

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

Adding to 1032441431112 its reverse (2111341442301), we get a palindrome (3143782873413).

The spelling of 1032441431112 in words is "one trillion, thirty-two billion, four hundred forty-one million, four hundred thirty-one thousand, one hundred twelve".