41564544 has 144 divisors (see below), whose sum is σ = 131221980. Its totient is φ = 11622912.

The previous prime is 41564543. The next prime is 41564557. The reversal of 41564544 is 44546514.

It is a super-2 number, since 2×41564544² = 3455222635855872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41564543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 884329 + ... + 884375.

Almost surely, 2^41564544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41564544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65610990).

41564544 is an abundant number, since it is smaller than the sum of its proper divisors (89657436).

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

41564544 is an equidigital number, since it uses as much as digits as its factorization.

41564544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 59 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 41564544 is about 6447.0570030053. The cubic root of 41564544 is about 346.3971738556.

Multiplying 41564544 by its product of digits (38400), we get a square (1596078489600 = 1263360²).

The spelling of 41564544 in words is "forty-one million, five hundred sixty-four thousand, five hundred forty-four".