1135255440 has 160 divisors (see below), whose sum is σ = 3851467776. Its totient is φ = 274337280.

The previous prime is 1135255417. The next prime is 1135255481. The reversal of 1135255440 is 445525311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1135255398 and 1135255407.

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, 1285239 + ... + 1286121.

Almost surely, 2^1135255440 is an apocalyptic number.

1135255440 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 1135255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925733888).

1135255440 is an abundant number, since it is smaller than the sum of its proper divisors (2716212336).

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

1135255440 is a wasteful number, since it uses less digits than its factorization.

1135255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1135255440 is about 33693.5519053720. The cubic root of 1135255440 is about 1043.1926789558.

The spelling of 1135255440 in words is "one billion, one hundred thirty-five million, two hundred fifty-five thousand, four hundred forty".