41622528256 has 81 divisors (see below), whose sum is σ = 85432995949. Its totient is φ = 20238387200.

The previous prime is 41622528209. The next prime is 41622528281. The reversal of 41622528256 is 65282522614.

It is a happy number.

The square root of 41622528256 is 204016.

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., 2005606656 + 39616921600 = 44784^2 + 199040^2 .

It is a Duffinian number.

Its product of digits (460800) is a multiple of the sum of its prime factors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133834341 + ... + 133834651.

Almost surely, 2^41622528256 is an apocalyptic number.

41622528256 is the 204016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41622528256

41622528256 is an abundant number, since it is smaller than the sum of its proper divisors (43810467693).

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

41622528256 is an frugal number, since it uses more digits than its factorization.

41622528256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 354 counting only the distinct ones).

The product of its digits is 460800, while the sum is 43.

The spelling of 41622528256 in words is "forty-one billion, six hundred twenty-two million, five hundred twenty-eight thousand, two hundred fifty-six".