1132741440 has 336 divisors, whose sum is σ = 4088959056. Its totient is φ = 287539200.

The previous prime is 1132741439. The next prime is 1132741447. The reversal of 1132741440 is 441472311.

It can be written as a sum of positive squares in 8 ways, for example, as 338854464 + 793886976 = 18408^2 + 28176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132741447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6258150 + ... + 6258330.

It is an arithmetic number, because the mean of its divisors is an integer number (12169521).

Almost surely, 2^1132741440 is an apocalyptic number.

1132741440 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 1132741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044479528).

1132741440 is an abundant number, since it is smaller than the sum of its proper divisors (2956217616).

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

1132741440 is a wasteful number, since it uses less digits than its factorization.

1132741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1132741440 is about 33656.2243871769. The cubic root of 1132741440 is about 1042.4220668757.

The spelling of 1132741440 in words is "one billion, one hundred thirty-two million, seven hundred forty-one thousand, four hundred forty".