4004004040 has 32 divisors (see below), whose sum is σ = 9019314360. Its totient is φ = 1599769600.

The previous prime is 4004004019. The next prime is 4004004049. The reversal of 4004004040 is 404004004.

It can be written as a sum of positive squares in 4 ways, for example, as 2562586884 + 1441417156 = 50622^2 + 37966^2 .

It is not an unprimeable number, because it can be changed into a prime (4004004049) by changing a digit.

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, 21571 + ... + 92050.

Almost surely, 2^4004004040 is an apocalyptic number.

4004004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004004040 is an abundant number, since it is smaller than the sum of its proper divisors (5015310320).

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

4004004040 is a wasteful number, since it uses less digits than its factorization.

4004004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114513 (or 114509 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4004004040 is about 63277.2000012643. The cubic root of 4004004040 is about 1587.9305434411.

Adding to 4004004040 its reverse (404004004), we get a palindrome (4408008044).

The spelling of 4004004040 in words is "four billion, four million, four thousand, forty", and thus it is an eban number.