41323618368 has 140 divisors (see below), whose sum is σ = 122607084732. Its totient is φ = 13762068480.

The previous prime is 41323618367. The next prime is 41323618373. The reversal of 41323618368 is 86381632314.

41323618368 is a `hidden beast` number, since 4 + 1 + 3 + 23 + 618 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24546115584 + 16777502784 = 156672^2 + 129528^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41323618361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7052496 + ... + 7058352.

Almost surely, 2^41323618368 is an apocalyptic number.

41323618368 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 41323618368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61303542366).

41323618368 is an abundant number, since it is smaller than the sum of its proper divisors (81283466364).

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

41323618368 is a wasteful number, since it uses less digits than its factorization.

41323618368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 7223 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 41323618368 in words is "forty-one billion, three hundred twenty-three million, six hundred eighteen thousand, three hundred sixty-eight".