41186241216 has 168 divisors, whose sum is σ = 119739105200. Its totient is φ = 13533972480.

The previous prime is 41186241211. The next prime is 41186241227. The reversal of 41186241216 is 61214268114.

41186241216 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 624 + 1 + 21 + 6 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (41186241211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13245870 + ... + 13248978.

Almost surely, 2^41186241216 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 41186241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59869552600).

41186241216 is an abundant number, since it is smaller than the sum of its proper divisors (78552863984).

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

41186241216 is a wasteful number, since it uses less digits than its factorization.

41186241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3434 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 41186241216 in words is "forty-one billion, one hundred eighty-six million, two hundred forty-one thousand, two hundred sixteen".