1135333440 has 168 divisors, whose sum is σ = 4134962520. Its totient is φ = 284934144.

The previous prime is 1135333439. The next prime is 1135333447. The reversal of 1135333440 is 443335311.

It can be written as a sum of positive squares in 4 ways, for example, as 253956096 + 881377344 = 15936^2 + 29688^2 .

It is not an unprimeable number, because it can be changed into a prime (1135333447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37366 + ... + 60554.

Almost surely, 2^1135333440 is an apocalyptic number.

1135333440 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 1135333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067481260).

1135333440 is an abundant number, since it is smaller than the sum of its proper divisors (2999629080).

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

1135333440 is a wasteful number, since it uses less digits than its factorization.

1135333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23229 (or 23216 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1135333440 is about 33694.7093769927. The cubic root of 1135333440 is about 1043.2165699565.

Adding to 1135333440 its reverse (443335311), we get a palindrome (1578668751).

The spelling of 1135333440 in words is "one billion, one hundred thirty-five million, three hundred thirty-three thousand, four hundred forty".