41041399968 has 144 divisors (see below), whose sum is σ = 122003481600. Its totient is φ = 13071352320.

The previous prime is 41041399957. The next prime is 41041400041. The reversal of 41041399968 is 86999314014.

It is a happy number.

41041399968 is a `hidden beast` number, since 410 + 4 + 139 + 9 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×41041399968² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676218 + ... + 734406.

It is an arithmetic number, because the mean of its divisors is an integer number (847246400).

Almost surely, 2^41041399968 is an apocalyptic number.

41041399968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41041399968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61001740800).

41041399968 is an abundant number, since it is smaller than the sum of its proper divisors (80962081632).

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

41041399968 is a wasteful number, since it uses less digits than its factorization.

41041399968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58315 (or 58304 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 41041399968 in words is "forty-one billion, forty-one million, three hundred ninety-nine thousand, nine hundred sixty-eight".