41935332096 has 216 divisors, whose sum is σ = 144257875440. Its totient is φ = 11981426688.

The previous prime is 41935332077. The next prime is 41935332149. The reversal of 41935332096 is 69023353914.

41935332096 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 533 + 20 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 276780 + ... + 400596.

Almost surely, 2^41935332096 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 41935332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72128937720).

41935332096 is an abundant number, since it is smaller than the sum of its proper divisors (102322543344).

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

41935332096 is a wasteful number, since it uses less digits than its factorization.

41935332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123856 (or 123829 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 41935332096 in words is "forty-one billion, nine hundred thirty-five million, three hundred thirty-two thousand, ninety-six".