41557268736 has 243 divisors, whose sum is σ = 124720006593. Its totient is φ = 13307719680.

The previous prime is 41557268717. The next prime is 41557268741. The reversal of 41557268736 is 63786275514.

The square root of 41557268736 is 203856.

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

41557268736 is a `hidden beast` number, since 4 + 1 + 5 + 572 + 68 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24410937600 + 17146331136 = 156240^2 + 130944^2 .

It is a super-2 number, since 2×41557268736² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 303337660 + ... + 303337796.

Almost surely, 2^41557268736 is an apocalyptic number.

41557268736 is the 203856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41557268736

41557268736 is an abundant number, since it is smaller than the sum of its proper divisors (83162737857).

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

41557268736 is an equidigital number, since it uses as much as digits as its factorization.

41557268736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 173 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 41557268736 in words is "forty-one billion, five hundred fifty-seven million, two hundred sixty-eight thousand, seven hundred thirty-six".