1141214144 has 112 divisors (see below), whose sum is σ = 2679118848. Its totient is φ = 472194048.

The previous prime is 1141214143. The next prime is 1141214153. The reversal of 1141214144 is 4414121411.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141214141) 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, 1747322 + ... + 1747974.

It is an arithmetic number, because the mean of its divisors is an integer number (23920704).

Almost surely, 2^1141214144 is an apocalyptic number.

1141214144 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 1141214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339559424).

1141214144 is an abundant number, since it is smaller than the sum of its proper divisors (1537904704).

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

1141214144 is an equidigital number, since it uses as much as digits as its factorization.

1141214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 792 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 1141214144 is about 33781.8611683844. The cubic root of 1141214144 is about 1045.0146572733.

Adding to 1141214144 its reverse (4414121411), we get a palindrome (5555335555).

The spelling of 1141214144 in words is "one billion, one hundred forty-one million, two hundred fourteen thousand, one hundred forty-four".