4141008 has 60 divisors (see below), whose sum is σ = 11727300. Its totient is φ = 1363968.

The previous prime is 4141001. The next prime is 4141009. The reversal of 4141008 is 8001414.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 3415104 = 852^2 + 1848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21360 + ... + 21552.

It is an arithmetic number, because the mean of its divisors is an integer number (195455).

Almost surely, 2^4141008 is an apocalyptic number.

4141008 is a gapful number since it is divisible by the number (48) 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 4141008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863650).

4141008 is an abundant number, since it is smaller than the sum of its proper divisors (7586292).

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

4141008 is a wasteful number, since it uses less digits than its factorization.

4141008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4141008 is about 2034.9466823482. The cubic root of 4141008 is about 160.5839081449.

The spelling of 4141008 in words is "four million, one hundred forty-one thousand, eight".