41861686176 has 288 divisors, whose sum is σ = 134749899648. Its totient is φ = 12254330880.

The previous prime is 41861686171. The next prime is 41861686177. The reversal of 41861686176 is 67168616814.

41861686176 is a `hidden beast` number, since 4 + 1 + 8 + 6 + 16 + 8 + 617 + 6 = 666.

41861686176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (41861686171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4612395 + ... + 4621461.

It is an arithmetic number, because the mean of its divisors is an integer number (467881596).

Almost surely, 2^41861686176 is an apocalyptic number.

41861686176 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41861686176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67374949824).

41861686176 is an abundant number, since it is smaller than the sum of its proper divisors (92888213472).

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

41861686176 is a wasteful number, since it uses less digits than its factorization.

41861686176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164 (or 9153 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 41861686176 in words is "forty-one billion, eight hundred sixty-one million, six hundred eighty-six thousand, one hundred seventy-six".