1011130240 has 128 divisors (see below), whose sum is σ = 2523765600. Its totient is φ = 386899968.

The previous prime is 1011130217. The next prime is 1011130247. The reversal of 1011130240 is 420311101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1011130240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011130247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2913747 + ... + 2914093.

Almost surely, 2^1011130240 is an apocalyptic number.

1011130240 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 1011130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261882800).

1011130240 is an abundant number, since it is smaller than the sum of its proper divisors (1512635360).

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

1011130240 is a wasteful number, since it uses less digits than its factorization.

1011130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1011130240 is about 31798.2741670047. The cubic root of 1011130240 is about 1003.6963997935.

Adding to 1011130240 its reverse (420311101), we get a palindrome (1431441341).

The spelling of 1011130240 in words is "one billion, eleven million, one hundred thirty thousand, two hundred forty".