541233256320 has 256 divisors, whose sum is σ = 1918555372800. Its totient is φ = 144201811968.

The previous prime is 541233256297. The next prime is 541233256337. The reversal of 541233256320 is 23652332145.

541233256320 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 3 + 325 + 6 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20498167 + ... + 20524553.

It is an arithmetic number, because the mean of its divisors is an integer number (7494356925).

Almost surely, 2^541233256320 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 541233256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959277686400).

541233256320 is an abundant number, since it is smaller than the sum of its proper divisors (1377322116480).

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

541233256320 is a wasteful number, since it uses less digits than its factorization.

541233256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27602 (or 27584 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 541233256320 its reverse (23652332145), we get a palindrome (564885588465).

The spelling of 541233256320 in words is "five hundred forty-one billion, two hundred thirty-three million, two hundred fifty-six thousand, three hundred twenty".