1135064040 has 128 divisors (see below), whose sum is σ = 3723148800. Its totient is φ = 274545920.

The previous prime is 1135064033. The next prime is 1135064057. The reversal of 1135064040 is 404605311.

It is a super-2 number, since 2×1135064040² = 2576740749802243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1135064040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900931 + ... + 902189.

It is an arithmetic number, because the mean of its divisors is an integer number (29087100).

Almost surely, 2^1135064040 is an apocalyptic number.

1135064040 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 1135064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861574400).

1135064040 is an abundant number, since it is smaller than the sum of its proper divisors (2588084760).

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

1135064040 is a wasteful number, since it uses less digits than its factorization.

1135064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1135064040 is about 33690.7114795755. The cubic root of 1135064040 is about 1043.1340494780.

Adding to 1135064040 its reverse (404605311), we get a palindrome (1539669351).

Subtracting from 1135064040 its reverse (404605311), we obtain a square (730458729 = 27027²).

It can be divided in two parts, 113 and 5064040, that added together give a triangular number (5064153 = T₃₁₈₂).

The spelling of 1135064040 in words is "one billion, one hundred thirty-five million, sixty-four thousand, forty".