41800968 has 128 divisors (see below), whose sum is σ = 128937600. Its totient is φ = 12441600.

The previous prime is 41800951. The next prime is 41800987. The reversal of 41800968 is 86900814.

It is a happy number.

41800968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173328 + ... + 173568.

It is an arithmetic number, because the mean of its divisors is an integer number (1007325).

Almost surely, 2^41800968 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 41800968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64468800).

41800968 is an abundant number, since it is smaller than the sum of its proper divisors (87136632).

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

41800968 is a wasteful number, since it uses less digits than its factorization.

41800968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 41800968 is about 6465.3668109397. The cubic root of 41800968 is about 347.0527150712.

The spelling of 41800968 in words is "forty-one million, eight hundred thousand, nine hundred sixty-eight".