41435968 has 84 divisors (see below), whose sum is σ = 97494852. Its totient is φ = 17418240.

The previous prime is 41435939. The next prime is 41435993. The reversal of 41435968 is 86953414.

It can be written as a sum of positive squares in 2 ways, for example, as 8809024 + 32626944 = 2968^2 + 5712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41435968.

It is a congruent number.

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, 228838 + ... + 229018.

It is an arithmetic number, because the mean of its divisors is an integer number (1160653).

Almost surely, 2^41435968 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 41435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48747426).

41435968 is an abundant number, since it is smaller than the sum of its proper divisors (56058884).

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

41435968 is a wasteful number, since it uses less digits than its factorization.

41435968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 41435968 is about 6437.0775977923. The cubic root of 41435968 is about 346.0396225799.

The spelling of 41435968 in words is "forty-one million, four hundred thirty-five thousand, nine hundred sixty-eight".