41995968 has 56 divisors (see below), whose sum is σ = 126991872. Its totient is φ = 11998464.

The previous prime is 41995949. The next prime is 41995997. The reversal of 41995968 is 86959914.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×41995968² = 3527322656514048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41995968.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14280 + ... + 16967.

It is an arithmetic number, because the mean of its divisors is an integer number (2267712).

Almost surely, 2^41995968 is an apocalyptic number.

41995968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41995968 is an abundant number, since it is smaller than the sum of its proper divisors (84995904).

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

41995968 is a wasteful number, since it uses less digits than its factorization.

41995968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31269 (or 31259 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 41995968 is about 6480.4296153882. The cubic root of 41995968 is about 347.5915408474.

The spelling of 41995968 in words is "forty-one million, nine hundred ninety-five thousand, nine hundred sixty-eight".