41771673216 has 768 divisors, whose sum is σ = 161811820800. Its totient is φ = 10351411200.

The previous prime is 41771673197. The next prime is 41771673247. The reversal of 41771673216 is 61237617714.

41771673216 is a `hidden beast` number, since 417 + 7 + 16 + 7 + 3 + 216 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69503316 + ... + 69503916.

It is an arithmetic number, because the mean of its divisors is an integer number (210692475).

Almost surely, 2^41771673216 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 41771673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80905910400).

41771673216 is an abundant number, since it is smaller than the sum of its proper divisors (120040147584).

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

41771673216 is a wasteful number, since it uses less digits than its factorization.

41771673216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 643 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The spelling of 41771673216 in words is "forty-one billion, seven hundred seventy-one million, six hundred seventy-three thousand, two hundred sixteen".