41571062648640 has 336 divisors, whose sum is σ = 163946184834432. Its totient is φ = 9471004766208.

The previous prime is 41571062648611. The next prime is 41571062648683. The reversal of 41571062648640 is 4684626017514.

41571062648640 is a `hidden beast` number, since 4 + 1 + 5 + 7 + 1 + 0 + 626 + 4 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830722 + ... + 9547518.

It is an arithmetic number, because the mean of its divisors is an integer number (487935073912).

Almost surely, 2^{41571062648640} is an apocalyptic number.

41571062648640 is a gapful number since it is divisible by the number (40) 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 41571062648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81973092417216).

41571062648640 is an abundant number, since it is smaller than the sum of its proper divisors (122375122185792).

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

41571062648640 is a wasteful number, since it uses less digits than its factorization.

41571062648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717134 (or 6717121 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 41571062648640 in words is "forty-one trillion, five hundred seventy-one billion, sixty-two million, six hundred forty-eight thousand, six hundred forty".