4141164 has 48 divisors (see below), whose sum is σ = 10442880. Its totient is φ = 1272960.

The previous prime is 4141147. The next prime is 4141169. The reversal of 4141164 is 4611414.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4141164.

It is not an unprimeable number, because it can be changed into a prime (4141169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9127 + ... + 9569.

It is an arithmetic number, because the mean of its divisors is an integer number (217560).

Almost surely, 2^4141164 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 4141164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221440).

4141164 is an abundant number, since it is smaller than the sum of its proper divisors (6301716).

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

4141164 is a wasteful number, since it uses less digits than its factorization.

4141164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 508 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 4141164 is about 2034.9850122298. The cubic root of 4141164 is about 160.5859246246.

Adding to 4141164 its reverse (4611414), we get a palindrome (8752578).

The spelling of 4141164 in words is "four million, one hundred forty-one thousand, one hundred sixty-four".