41609472256 has 243 divisors, whose sum is σ = 97956635049. Its totient is φ = 17624217600.

The previous prime is 41609472197. The next prime is 41609472319. The reversal of 41609472256 is 65227490614.

The square root of 41609472256 is 203984.

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

It can be written as a sum of positive squares in only one way, i.e., 1353062656 + 40256409600 = 36784^2 + 200640^2 .

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, 682122466 + ... + 682122526.

Almost surely, 2^41609472256 is an apocalyptic number.

41609472256 is the 203984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41609472256

41609472256 is an abundant number, since it is smaller than the sum of its proper divisors (56347162793).

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

41609472256 is an equidigital number, since it uses as much as digits as its factorization.

41609472256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 41609472256 in words is "forty-one billion, six hundred nine million, four hundred seventy-two thousand, two hundred fifty-six".