40004040004 has 48 divisors (see below), whose sum is σ = 72199125936. Its totient is φ = 19388160000.

The previous prime is 40004039983. The next prime is 40004040017.

40004040004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 15151148100 + 24852891904 = 123090^2 + 157648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40004040004.

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, 4035454 + ... + 4045354.

It is an arithmetic number, because the mean of its divisors is an integer number (1504148457).

Almost surely, 2^40004040004 is an apocalyptic number.

It is an amenable number.

40004040004 is a deficient number, since it is larger than the sum of its proper divisors (32195085932).

40004040004 is a wasteful number, since it uses less digits than its factorization.

40004040004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10214 counting only the distinct ones).

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

It can be divided in two parts, 400040 and 40004, that added together give a palindrome (440044).

The spelling of 40004040004 in words is "forty billion, four million, forty thousand, four", and thus it is an eban number.