1141144000 has 112 divisors (see below), whose sum is σ = 2869570080. Its totient is φ = 449433600.

The previous prime is 1141143937. The next prime is 1141144001. The reversal of 1141144000 is 4411411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141144001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534936 + ... + 537064.

Almost surely, 2^1141144000 is an apocalyptic number.

1141144000 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 1141144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434785040).

1141144000 is an abundant number, since it is smaller than the sum of its proper divisors (1728426080).

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

1141144000 is an equidigital number, since it uses as much as digits as its factorization.

1141144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1141144000 is about 33780.8229621482. The cubic root of 1141144000 is about 1044.9932464480.

Adding to 1141144000 its reverse (4411411), we get a palindrome (1145555411).

The spelling of 1141144000 in words is "one billion, one hundred forty-one million, one hundred forty-four thousand".