1131445440 has 672 divisors, whose sum is σ = 4564684800. Its totient is φ = 255467520.

The previous prime is 1131445439. The next prime is 1131445457. The reversal of 1131445440 is 445441311.

1131445440 is a `hidden beast` number, since 113 + 1 + 4 + 4 + 544 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36498225 + ... + 36498255.

Almost surely, 2^1131445440 is an apocalyptic number.

1131445440 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 1131445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282342400).

1131445440 is an abundant number, since it is smaller than the sum of its proper divisors (3433239360).

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

1131445440 is a wasteful number, since it uses less digits than its factorization.

1131445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1131445440 is about 33636.9653803669. The cubic root of 1131445440 is about 1042.0243607711.

Adding to 1131445440 its reverse (445441311), we get a palindrome (1576886751).

The spelling of 1131445440 in words is "one billion, one hundred thirty-one million, four hundred forty-five thousand, four hundred forty".