1135435440 has 320 divisors, whose sum is σ = 3989744640. Its totient is φ = 265420800.

The previous prime is 1135435429. The next prime is 1135435487. The reversal of 1135435440 is 445345311.

1135435440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1135435440³ (a number of 28 digits) contains 333 as substring.

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 = 1135435398 and 1135435407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7519365 + ... + 7519515.

It is an arithmetic number, because the mean of its divisors is an integer number (12467952).

Almost surely, 2^1135435440 is an apocalyptic number.

1135435440 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 1135435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994872320).

1135435440 is an abundant number, since it is smaller than the sum of its proper divisors (2854309200).

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

1135435440 is a wasteful number, since it uses less digits than its factorization.

1135435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1135435440 is about 33696.2229337355. Note that the first 3 decimals coincide. The cubic root of 1135435440 is about 1043.2478103833.

The spelling of 1135435440 in words is "one billion, one hundred thirty-five million, four hundred thirty-five thousand, four hundred forty".