1141186320 has 240 divisors, whose sum is σ = 4062240000. Its totient is φ = 297603072.

The previous prime is 1141186259. The next prime is 1141186327. The reversal of 1141186320 is 236811411.

It is a happy number.

1141186320 is a `hidden beast` number, since 1 + 14 + 1 + 18 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1141186327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913056 + ... + 914304.

It is an arithmetic number, because the mean of its divisors is an integer number (16926000).

Almost surely, 2^1141186320 is an apocalyptic number.

1141186320 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 1141186320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031120000).

1141186320 is an abundant number, since it is smaller than the sum of its proper divisors (2921053680).

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

1141186320 is a wasteful number, since it uses less digits than its factorization.

1141186320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1141186320 is about 33781.4493472379. The cubic root of 1141186320 is about 1045.0061643524.

Adding to 1141186320 its reverse (236811411), we get a palindrome (1377997731).

The spelling of 1141186320 in words is "one billion, one hundred forty-one million, one hundred eighty-six thousand, three hundred twenty".