541303332144 has 80 divisors (see below), whose sum is σ = 1413583855200. Its totient is φ = 178476576768.

The previous prime is 541303332071. The next prime is 541303332187. The reversal of 541303332144 is 441233303145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3015342 + ... + 3189810.

It is an arithmetic number, because the mean of its divisors is an integer number (17669798190).

Almost surely, 2^541303332144 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 541303332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706791927600).

541303332144 is an abundant number, since it is smaller than the sum of its proper divisors (872280523056).

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

541303332144 is a wasteful number, since it uses less digits than its factorization.

541303332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175182 (or 175176 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 541303332144 its reverse (441233303145), we get a palindrome (982536635289).

The spelling of 541303332144 in words is "five hundred forty-one billion, three hundred three million, three hundred thirty-two thousand, one hundred forty-four".