41683686441952 has 96 divisors (see below), whose sum is σ = 84943711558944. Its totient is φ = 20121504768000.

The previous prime is 41683686441773. The next prime is 41683686441989. The reversal of 41683686441952 is 25914468638614.

41683686441952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 252617908 + ... + 252782860.

It is an arithmetic number, because the mean of its divisors is an integer number (884830328739).

Almost surely, 2^{41683686441952} 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 41683686441952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42471855779472).

41683686441952 is an abundant number, since it is smaller than the sum of its proper divisors (43260025116992).

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

41683686441952 is a wasteful number, since it uses less digits than its factorization.

41683686441952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167012 (or 167004 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 67.

The spelling of 41683686441952 in words is "forty-one trillion, six hundred eighty-three billion, six hundred eighty-six million, four hundred forty-one thousand, nine hundred fifty-two".