41641364969568 has 1728 divisors, whose sum is σ = 159757388743680. Its totient is φ = 9990594846720.

The previous prime is 41641364969539. The next prime is 41641364969579. The reversal of 41641364969568 is 86596946314614.

41641364969568 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 13 + 6 + 49 + 6 + 9 + 568 = 666.

It is a super-2 number, since 2×41641364969568² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 41641364969496 and 41641364969505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 82786013605 + ... + 82786014107.

It is an arithmetic number, because the mean of its divisors is an integer number (92452192560).

Almost surely, 2^{41641364969568} is an apocalyptic number.

41641364969568 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 41641364969568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79878694371840).

41641364969568 is an abundant number, since it is smaller than the sum of its proper divisors (118116023774112).

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

41641364969568 is a wasteful number, since it uses less digits than its factorization.

41641364969568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 751 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 41641364969568 in words is "forty-one trillion, six hundred forty-one billion, three hundred sixty-four million, nine hundred sixty-nine thousand, five hundred sixty-eight".