1141309806 has 128 divisors (see below), whose sum is σ = 2903040000. Its totient is φ = 291150720.

The previous prime is 1141309787. The next prime is 1141309823. The reversal of 1141309806 is 6089031411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2286945 + ... + 2287443.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 2^1141309806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141309806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520000).

1141309806 is an abundant number, since it is smaller than the sum of its proper divisors (1761730194).

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

1141309806 is a wasteful number, since it uses less digits than its factorization.

1141309806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654.

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1141309806 is about 33783.2770168911. The cubic root of 1141309806 is about 1045.0438558245.

The spelling of 1141309806 in words is "one billion, one hundred forty-one million, three hundred nine thousand, eight hundred six".