4010004 has 72 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1227072.

The previous prime is 4009991. The next prime is 4010021. The reversal of 4010004 is 4000104.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23929 + ... + 24095.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 2^4010004 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 4010004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

4010004 is an abundant number, since it is smaller than the sum of its proper divisors (6997356).

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

4010004 is a wasteful number, since it uses less digits than its factorization.

4010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 224 counting only the distinct ones).

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

The square root of 4010004 is about 2002.4994382022. The cubic root of 4010004 is about 158.8723313598.

Adding to 4010004 its reverse (4000104), we get a palindrome (8010108).

The spelling of 4010004 in words is "four million, ten thousand, four".