41686396416 has 960 divisors, whose sum is σ = 156739968000. Its totient is φ = 10868981760.

The previous prime is 41686396351. The next prime is 41686396429. The reversal of 41686396416 is 61469368614.

41686396416 is a `hidden beast` number, since 4 + 168 + 63 + 9 + 6 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 527675865 + ... + 527675943.

It is an arithmetic number, because the mean of its divisors is an integer number (163270800).

Almost surely, 2^41686396416 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 41686396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984000).

41686396416 is an abundant number, since it is smaller than the sum of its proper divisors (115053571584).

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

41686396416 is a wasteful number, since it uses less digits than its factorization.

41686396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 41686396416 in words is "forty-one billion, six hundred eighty-six million, three hundred ninety-six thousand, four hundred sixteen".