41191968 has 24 divisors (see below), whose sum is σ = 108129168. Its totient is φ = 13730624.

The previous prime is 41191967. The next prime is 41191993. The reversal of 41191968 is 86919114.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (41191967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214446 + ... + 214637.

It is an arithmetic number, because the mean of its divisors is an integer number (4505382).

Almost surely, 2^41191968 is an apocalyptic number.

41191968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41191968 is an abundant number, since it is smaller than the sum of its proper divisors (66937200).

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

41191968 is a wasteful number, since it uses less digits than its factorization.

41191968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429096 (or 429088 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 41191968 is about 6418.0969141950. The cubic root of 41191968 is about 345.3590548795.

The spelling of 41191968 in words is "forty-one million, one hundred ninety-one thousand, nine hundred sixty-eight".