41005008 has 80 divisors (see below), whose sum is σ = 128414400. Its totient is φ = 12424320.

The previous prime is 41004989. The next prime is 41005031. The reversal of 41005008 is 80050014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438 + ... + 9066.

It is an arithmetic number, because the mean of its divisors is an integer number (1605180).

Almost surely, 2^41005008 is an apocalyptic number.

41005008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41005008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64207200).

41005008 is an abundant number, since it is smaller than the sum of its proper divisors (87409392).

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

41005008 is a wasteful number, since it uses less digits than its factorization.

41005008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8657 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 41005008 is about 6403.5152845917. The cubic root of 41005008 is about 344.8357630374.

The spelling of 41005008 in words is "forty-one million, five thousand, eight".