41541764768 has 192 divisors, whose sum is σ = 101931540480. Its totient is φ = 16263244800.

The previous prime is 41541764753. The next prime is 41541764777. The reversal of 41541764768 is 86746714514.

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, 60822155 + ... + 60822837.

It is an arithmetic number, because the mean of its divisors is an integer number (530893440).

Almost surely, 2^41541764768 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 41541764768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50965770240).

41541764768 is an abundant number, since it is smaller than the sum of its proper divisors (60389775712).

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

41541764768 is a wasteful number, since it uses less digits than its factorization.

41541764768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 53.

The spelling of 41541764768 in words is "forty-one billion, five hundred forty-one million, seven hundred sixty-four thousand, seven hundred sixty-eight".