1141011040 has 96 divisors (see below), whose sum is σ = 2912124096. Its totient is φ = 419973120.

The previous prime is 1141011037. The next prime is 1141011127. The reversal of 1141011040 is 401101411.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1141011040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875029 + ... + 876331.

It is an arithmetic number, because the mean of its divisors is an integer number (30334626).

Almost surely, 2^1141011040 is an apocalyptic number.

1141011040 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 1141011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456062048).

1141011040 is an abundant number, since it is smaller than the sum of its proper divisors (1771113056).

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

1141011040 is a wasteful number, since it uses less digits than its factorization.

1141011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1141011040 is about 33778.8549243458. The cubic root of 1141011040 is about 1044.9526591956.

Adding to 1141011040 its reverse (401101411), we get a palindrome (1542112451).

The spelling of 1141011040 in words is "one billion, one hundred forty-one million, eleven thousand, forty".