4100004 has 24 divisors (see below), whose sum is σ = 10629920. Its totient is φ = 1366632.

The previous prime is 4099981. The next prime is 4100011. The reversal of 4100004 is 4000014.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18874 + ... + 19089.

Almost surely, 2^4100004 is an apocalyptic number.

It is an amenable number.

4100004 is an abundant number, since it is smaller than the sum of its proper divisors (6529916).

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

4100004 is a wasteful number, since it uses less digits than its factorization.

4100004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37976 (or 37968 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4100004 is about 2024.8466608610. The cubic root of 4100004 is about 160.0521184378.

Adding to 4100004 its reverse (4000014), we get a palindrome (8100018).

The spelling of 4100004 in words is "four million, one hundred thousand, four".