1141991424 has 288 divisors, whose sum is σ = 3863583360. Its totient is φ = 318210048.

The previous prime is 1141991413. The next prime is 1141991443. The reversal of 1141991424 is 4241991411.

1141991424 is a `hidden beast` number, since 1 + 141 + 9 + 91 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6838189 + ... + 6838355.

It is an arithmetic number, because the mean of its divisors is an integer number (13415220).

Almost surely, 2^1141991424 is an apocalyptic number.

1141991424 is a gapful number since it is divisible by the number (14) 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 1141991424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931791680).

1141991424 is an abundant number, since it is smaller than the sum of its proper divisors (2721591936).

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

1141991424 is a wasteful number, since it uses less digits than its factorization.

1141991424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1141991424 is about 33793.3636088508. The cubic root of 1141991424 is about 1045.2518562994.

The spelling of 1141991424 in words is "one billion, one hundred forty-one million, nine hundred ninety-one thousand, four hundred twenty-four".