541312144 has 40 divisors (see below), whose sum is σ = 1095197760. Its totient is φ = 258857088.

The previous prime is 541312141. The next prime is 541312159. The reversal of 541312144 is 441213145.

It is not an unprimeable number, because it can be changed into a prime (541312141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44197 + ... + 55099.

It is an arithmetic number, because the mean of its divisors is an integer number (27379944).

Almost surely, 2^541312144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547598880).

541312144 is an abundant number, since it is smaller than the sum of its proper divisors (553885616).

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

541312144 is a wasteful number, since it uses less digits than its factorization.

541312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047 (or 11041 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 541312144 is about 23266.1157909953. The cubic root of 541312144 is about 814.9843267966.

Adding to 541312144 its reverse (441213145), we get a palindrome (982525289).

The spelling of 541312144 in words is "five hundred forty-one million, three hundred twelve thousand, one hundred forty-four".