41057568 has 72 divisors (see below), whose sum is σ = 119944188. Its totient is φ = 13312512.

The previous prime is 41057539. The next prime is 41057573. The reversal of 41057568 is 86575014.

41057568 is a `hidden beast` number, since 41 + 0 + 57 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29030544 + 12027024 = 5388^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8730 + ... + 12582.

Almost surely, 2^41057568 is an apocalyptic number.

41057568 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 41057568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59972094).

41057568 is an abundant number, since it is smaller than the sum of its proper divisors (78886620).

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

41057568 is a wasteful number, since it uses less digits than its factorization.

41057568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 41057568 is about 6407.6179661400. The cubic root of 41057568 is about 344.9830363430.

The spelling of 41057568 in words is "forty-one million, fifty-seven thousand, five hundred sixty-eight".