41068364803648 has 1344 divisors, whose sum is σ = 112279511328768. Its totient is φ = 14738339266560.

The previous prime is 41068364803561. The next prime is 41068364803673. The reversal of 41068364803648 is 84630846386014.

It is a happy number.

41068364803648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41068364803648² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180917906511 + ... + 180917906737.

It is an arithmetic number, because the mean of its divisors is an integer number (83541303072).

Almost surely, 2^{41068364803648} 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 41068364803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56139755664384).

41068364803648 is an abundant number, since it is smaller than the sum of its proper divisors (71211146525120).

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

41068364803648 is a wasteful number, since it uses less digits than its factorization.

41068364803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 61.

The spelling of 41068364803648 in words is "forty-one trillion, sixty-eight billion, three hundred sixty-four million, eight hundred three thousand, six hundred forty-eight".