4004000440004 has 6 divisors (see below), whose sum is σ = 7007000770014. Its totient is φ = 2002000220000.

The previous prime is 4004000440003. The next prime is 4004000440007. The reversal of 4004000440004 is 4000440004004.

It can be written as a sum of positive squares in only one way, i.e., 2545939360000 + 1458061080004 = 1595600^2 + 1207502^2 .

It is not an unprimeable number, because it can be changed into a prime (4004000440003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500054997 + ... + 500500055004.

It is an arithmetic number, because the mean of its divisors is an integer number (1167833461669).

Almost surely, 2^{4004000440004} is an apocalyptic number.

It is an amenable number.

4004000440004 is a deficient number, since it is larger than the sum of its proper divisors (3003000330010).

4004000440004 is a wasteful number, since it uses less digits than its factorization.

4004000440004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001000110005 (or 1001000110003 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4004000440004 its reverse (4000440004004), we get a palindrome (8004440444008).

The spelling of 4004000440004 in words is "four trillion, four billion, four hundred forty thousand, four".