4004040 has 64 divisors (see below), whose sum is σ = 12231360. Its totient is φ = 1048320.

The previous prime is 4004023. The next prime is 4004057. The reversal of 4004040 is 404004.

It is an interprime number because it is at equal distance from previous prime (4004023) and next prime (4004057).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

4004040 is a modest number, since divided by 4040 gives 400 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7047 + ... + 7593.

It is an arithmetic number, because the mean of its divisors is an integer number (191115).

Almost surely, 2^4004040 is an apocalyptic number.

4004040 is a gapful number since it is divisible by the number (40) 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 4004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115680).

4004040 is an abundant number, since it is smaller than the sum of its proper divisors (8227320).

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

4004040 is a wasteful number, since it uses less digits than its factorization.

4004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4004040 is about 2001.0097451037. The cubic root of 4004040 is about 158.7935297167.

Adding to 4004040 its reverse (404004), we get a palindrome (4408044).

The spelling of 4004040 in words is "four million, four thousand, forty", and thus it is an eban number.