41686380 has 192 divisors, whose sum is σ = 145152000. Its totient is φ = 9870336.

The previous prime is 41686349. The next prime is 41686387. The reversal of 41686380 is 8368614.

It is a happy number.

41686380 is a `hidden beast` number, since 4 + 16 + 8 + 638 + 0 = 666.

41686380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41686387) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 174301 + ... + 174539.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^41686380 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 41686380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

41686380 is an abundant number, since it is smaller than the sum of its proper divisors (103465620).

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

41686380 is a wasteful number, since it uses less digits than its factorization.

41686380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41686380 is about 6456.4990513435. The cubic root of 41686380 is about 346.7353024028.

The spelling of 41686380 in words is "forty-one million, six hundred eighty-six thousand, three hundred eighty".