4141564 has 48 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 1653696.

The previous prime is 4141559. The next prime is 4141573. The reversal of 4141564 is 4651414.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37942 + ... + 38050.

It is an arithmetic number, because the mean of its divisors is an integer number (184800).

Almost surely, 2^4141564 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 4141564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

4141564 is an abundant number, since it is smaller than the sum of its proper divisors (4728836).

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

4141564 is a wasteful number, since it uses less digits than its factorization.

4141564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 4141564 is about 2035.0832906788. The cubic root of 4141564 is about 160.5910948538.

Adding to 4141564 its reverse (4651414), we get a palindrome (8792978).

The spelling of 4141564 in words is "four million, one hundred forty-one thousand, five hundred sixty-four".