41527918656 has 189 divisors, whose sum is σ = 138580368381. Its totient is φ = 11855337984.

The previous prime is 41527918609. The next prime is 41527918657. The reversal of 41527918656 is 65681972514.

It is a happy number.

The square root of 41527918656 is 203784.

It is a perfect power (a square), and thus also a powerful number.

41527918656 is a `hidden beast` number, since 41 + 527 + 9 + 18 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1694145600 + 39833773056 = 41160^2 + 199584^2 .

It is not an unprimeable number, because it can be changed into a prime (41527918657) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34235106 + ... + 34236318.

Almost surely, 2^41527918656 is an apocalyptic number.

41527918656 is the 203784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41527918656

41527918656 is an abundant number, since it is smaller than the sum of its proper divisors (97052449725).

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

41527918656 is an equidigital number, since it uses as much as digits as its factorization.

41527918656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 1225 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 41527918656 in words is "forty-one billion, five hundred twenty-seven million, nine hundred eighteen thousand, six hundred fifty-six".