41816160100 has 225 divisors, whose sum is σ = 108132142685. Its totient is φ = 14036193600.

The previous prime is 41816160083. The next prime is 41816160119. The reversal of 41816160100 is 106161814.

The square root of 41816160100 is 204490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 41028122916 + 788037184 = 202554^2 + 28072^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3216627694 + ... + 3216627706.

Almost surely, 2^41816160100 is an apocalyptic number.

41816160100 is the 204490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41816160100

41816160100 is an abundant number, since it is smaller than the sum of its proper divisors (66315982585).

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

41816160100 is an frugal number, since it uses more digits than its factorization.

41816160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 41816160100 in words is "forty-one billion, eight hundred sixteen million, one hundred sixty thousand, one hundred".