41557968 has 40 divisors (see below), whose sum is σ = 119288000. Its totient is φ = 13852512.

The previous prime is 41557961. The next prime is 41557973. The reversal of 41557968 is 86975514.

41557968 is a `hidden beast` number, since 4 + 1 + 557 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41557961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47668 + ... + 48531.

It is an arithmetic number, because the mean of its divisors is an integer number (2982200).

Almost surely, 2^41557968 is an apocalyptic number.

41557968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41557968 is an abundant number, since it is smaller than the sum of its proper divisors (77730032).

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

41557968 is a wasteful number, since it uses less digits than its factorization.

41557968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96216 (or 96204 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 41557968 is about 6446.5469826877. The cubic root of 41557968 is about 346.3789048556.

It can be divided in two parts, 41 and 557968, that added together give a square (558009 = 747²).

The spelling of 41557968 in words is "forty-one million, five hundred fifty-seven thousand, nine hundred sixty-eight".