41005668 has 48 divisors (see below), whose sum is σ = 104892480. Its totient is φ = 12364800.

The previous prime is 41005663. The next prime is 41005687. The reversal of 41005668 is 86650014.

It is not an unprimeable number, because it can be changed into a prime (41005663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31168 + ... + 32456.

It is an arithmetic number, because the mean of its divisors is an integer number (2185260).

Almost surely, 2^41005668 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 41005668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52446240).

41005668 is an abundant number, since it is smaller than the sum of its proper divisors (63886812).

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

41005668 is a wasteful number, since it uses less digits than its factorization.

41005668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 41005668 is about 6403.5668185785. The cubic root of 41005668 is about 344.8376131397.

The spelling of 41005668 in words is "forty-one million, five thousand, six hundred sixty-eight".