40004004 has 24 divisors (see below), whose sum is σ = 93570400. Its totient is φ = 13302144.

The previous prime is 40003991. The next prime is 40004011. The reversal of 40004004 is 40040004.

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

40004004 is a modest number, since divided by 4004 gives 40 as remainder.

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 7 ways as a sum of consecutive naturals, for example, 1347 + ... + 9045.

Almost surely, 2^40004004 is an apocalyptic number.

It is an amenable number.

40004004 is an abundant number, since it is smaller than the sum of its proper divisors (53566396).

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

40004004 is a wasteful number, since it uses less digits than its factorization.

40004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139 (or 8137 counting only the distinct ones).

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

The square root of 40004004 is about 6324.8718564094. The cubic root of 40004004 is about 342.0066001941.

Adding to 40004004 its reverse (40040004), we get a palindrome (80044008).

The spelling of 40004004 in words is "forty million, four thousand, four", and thus it is an eban number.