1135007040 has 168 divisors, whose sum is σ = 3829031712. Its totient is φ = 284794880.

The previous prime is 1135007039. The next prime is 1135007087. The reversal of 1135007040 is 407005311.

It is a junction number, because it is equal to n+sod(n) for n = 1135006998 and 1135007016.

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 23 ways as a sum of consecutive naturals, for example, 275395 + ... + 279485.

Almost surely, 2^1135007040 is an apocalyptic number.

1135007040 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 1135007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914515856).

1135007040 is an abundant number, since it is smaller than the sum of its proper divisors (2694024672).

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

1135007040 is a wasteful number, since it uses less digits than its factorization.

1135007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1135007040 is about 33689.8655384672. The cubic root of 1135007040 is about 1043.1165880150.

The spelling of 1135007040 in words is "one billion, one hundred thirty-five million, seven thousand, forty".