41368344192 has 256 divisors, whose sum is σ = 142508851200. Its totient is φ = 11567729664.

The previous prime is 41368344151. The next prime is 41368344211. The reversal of 41368344192 is 29144386314.

41368344192 is a `hidden beast` number, since 41 + 3 + 6 + 83 + 441 + 92 = 666.

It is a super-2 number, since 2×41368344192² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118833 + ... + 1155215.

It is an arithmetic number, because the mean of its divisors is an integer number (556675200).

Almost surely, 2^41368344192 is an apocalyptic number.

41368344192 is a gapful number since it is divisible by the number (42) 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 41368344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71254425600).

41368344192 is an abundant number, since it is smaller than the sum of its proper divisors (101140507008).

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

41368344192 is a wasteful number, since it uses less digits than its factorization.

41368344192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36460 (or 36442 counting only the distinct ones).

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

The spelling of 41368344192 in words is "forty-one billion, three hundred sixty-eight million, three hundred forty-four thousand, one hundred ninety-two".