41834185344 has 640 divisors, whose sum is σ = 154513941120. Its totient is φ = 10961879040.

The previous prime is 41834185343. The next prime is 41834185357. The reversal of 41834185344 is 44358143814.

41834185344 is a `hidden beast` number, since 4 + 183 + 418 + 53 + 4 + 4 = 666.

It is a super-2 number, since 2×41834185344² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41834185344.

It is not an unprimeable number, because it can be changed into a prime (41834185343) 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 79 ways as a sum of consecutive naturals, for example, 50585059 + ... + 50585885.

It is an arithmetic number, because the mean of its divisors is an integer number (241428033).

Almost surely, 2^41834185344 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 41834185344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77256970560).

41834185344 is an abundant number, since it is smaller than the sum of its proper divisors (112679755776).

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

41834185344 is a wasteful number, since it uses less digits than its factorization.

41834185344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 897 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 41834185344 in words is "forty-one billion, eight hundred thirty-four million, one hundred eighty-five thousand, three hundred forty-four".