541041284592 has 120 divisors (see below), whose sum is σ = 1570575726720. Its totient is φ = 180309032640.

The previous prime is 541041284591. The next prime is 541041284617. The reversal of 541041284592 is 295482140145.

541041284592 is a `hidden beast` number, since 5 + 4 + 10 + 41 + 2 + 8 + 4 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541041284591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23079117 + ... + 23102547.

It is an arithmetic number, because the mean of its divisors is an integer number (13088131056).

Almost surely, 2^541041284592 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 541041284592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785287863360).

541041284592 is an abundant number, since it is smaller than the sum of its proper divisors (1029534442128).

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

541041284592 is a wasteful number, since it uses less digits than its factorization.

541041284592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29393 (or 29375 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 541041284592 in words is "five hundred forty-one billion, forty-one million, two hundred eighty-four thousand, five hundred ninety-two".