4004010 has 48 divisors (see below), whose sum is σ = 11027016. Its totient is φ = 1004544.

The previous prime is 4004009. The next prime is 4004023. The reversal of 4004010 is 104004.

4004010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4004001 + 9 = 2001^2 + 3^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4003983 and 4004001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222 + ... + 2838.

Almost surely, 2^4004010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513508).

4004010 is an abundant number, since it is smaller than the sum of its proper divisors (7023006).

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

4004010 is a wasteful number, since it uses less digits than its factorization.

4004010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2644 counting only the distinct ones).

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

The square root of 4004010 is about 2001.0022488743. The cubic root of 4004010 is about 158.7931331324.

Adding to 4004010 its reverse (104004), we get a palindrome (4108014).

The spelling of 4004010 in words is "four million, four thousand, ten".