1141805920 has 96 divisors (see below), whose sum is σ = 2749088160. Its totient is φ = 448081920.

The previous prime is 1141805891. The next prime is 1141805947. The reversal of 1141805920 is 295081411.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 2577219 + ... + 2577661.

It is an arithmetic number, because the mean of its divisors is an integer number (28636335).

Almost surely, 2^1141805920 is an apocalyptic number.

1141805920 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 1141805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374544080).

1141805920 is an abundant number, since it is smaller than the sum of its proper divisors (1607282240).

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

1141805920 is a wasteful number, since it uses less digits than its factorization.

1141805920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 1141805920 is about 33790.6188164703. The cubic root of 1141805920 is about 1045.1952566624.

The spelling of 1141805920 in words is "one billion, one hundred forty-one million, eight hundred five thousand, nine hundred twenty".