41541929984100 has 1152 divisors, whose sum is σ = 153225344950272. Its totient is φ = 8457965568000.

The previous prime is 41541929984069. The next prime is 41541929984119. The reversal of 41541929984100 is 148992914514.

41541929984100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 23377562412 + ... + 23377564188.

It is an arithmetic number, because the mean of its divisors is an integer number (133008111936).

Almost surely, 2^{41541929984100} 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 41541929984100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76612672475136).

41541929984100 is an abundant number, since it is smaller than the sum of its proper divisors (111683414966172).

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

41541929984100 is a wasteful number, since it uses less digits than its factorization.

41541929984100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 41541929984100 in words is "forty-one trillion, five hundred forty-one billion, nine hundred twenty-nine million, nine hundred eighty-four thousand, one hundred".