41463968 has 96 divisors (see below), whose sum is σ = 104146560. Its totient is φ = 15805440.

The previous prime is 41463959. The next prime is 41463971. The reversal of 41463968 is 86936414.

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, 84203 + ... + 84693.

It is an arithmetic number, because the mean of its divisors is an integer number (1084860).

Almost surely, 2^41463968 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 41463968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52073280).

41463968 is an abundant number, since it is smaller than the sum of its proper divisors (62682592).

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

41463968 is a wasteful number, since it uses less digits than its factorization.

41463968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 41463968 is about 6439.2521304884. The cubic root of 41463968 is about 346.1175494655.

The spelling of 41463968 in words is "forty-one million, four hundred sixty-three thousand, nine hundred sixty-eight".