41022564 has 96 divisors (see below), whose sum is σ = 112275072. Its totient is φ = 11520000.

The previous prime is 41022563. The next prime is 41022589. The reversal of 41022564 is 46522014.

41022564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41022563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 226554 + ... + 226734.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 2^41022564 is an apocalyptic number.

41022564 is a gapful number since it is divisible by the number (44) 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 41022564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137536).

41022564 is an abundant number, since it is smaller than the sum of its proper divisors (71252508).

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

41022564 is a wasteful number, since it uses less digits than its factorization.

41022564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 41022564 is about 6404.8859474623. The cubic root of 41022564 is about 344.8849690017.

Adding to 41022564 its reverse (46522014), we get a palindrome (87544578).

It can be divided in two parts, 4102 and 2564, that added together give a palindrome (6666).

The spelling of 41022564 in words is "forty-one million, twenty-two thousand, five hundred sixty-four".