1132431440 has 160 divisors (see below), whose sum is σ = 3147655680. Its totient is φ = 370685952.

The previous prime is 1132431437. The next prime is 1132431467. The reversal of 1132431440 is 441342311.

1132431440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672382 + ... + 1673058.

It is an arithmetic number, because the mean of its divisors is an integer number (19672848).

Almost surely, 2^1132431440 is an apocalyptic number.

1132431440 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 1132431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573827840).

1132431440 is an abundant number, since it is smaller than the sum of its proper divisors (2015224240).

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

1132431440 is a wasteful number, since it uses less digits than its factorization.

1132431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1132431440 is about 33651.6186832075. The cubic root of 1132431440 is about 1042.3269641709.

Adding to 1132431440 its reverse (441342311), we get a palindrome (1573773751).

The spelling of 1132431440 in words is "one billion, one hundred thirty-two million, four hundred thirty-one thousand, four hundred forty".