1141344100 has 72 divisors (see below), whose sum is σ = 2681642600. Its totient is φ = 419143680.

The previous prime is 1141344077. The next prime is 1141344107. The reversal of 1141344100 is 14431411.

It can be written as a sum of positive squares in 12 ways, for example, as 522031104 + 619312996 = 22848^2 + 24886^2 .

It is not an unprimeable number, because it can be changed into a prime (1141344107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248626 + ... + 253174.

Almost surely, 2^1141344100 is an apocalyptic number.

1141344100 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 1141344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340821300).

1141344100 is an abundant number, since it is smaller than the sum of its proper divisors (1540298500).

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

1141344100 is a wasteful number, since it uses less digits than its factorization.

1141344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1141344100 is about 33783.7845718919. The cubic root of 1141344100 is about 1045.0543228554.

Adding to 1141344100 its reverse (14431411), we get a palindrome (1155775511).

The spelling of 1141344100 in words is "one billion, one hundred forty-one million, three hundred forty-four thousand, one hundred".