404004441142004 has 24 divisors (see below), whose sum is σ = 715623786790248. Its totient is φ = 199555376492160.

The previous prime is 404004441141911. The next prime is 404004441142009. The reversal of 404004441142004 is 400241144400404.

It can be written as a sum of positive squares in 4 ways, for example, as 165544506288100 + 238459934853904 = 12866410^2 + 15442148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404004441142009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1859195327 + ... + 1859412614.

It is an arithmetic number, because the mean of its divisors is an integer number (29817657782927).

Almost surely, 2^{404004441142004} is an apocalyptic number.

It is an amenable number.

404004441142004 is a deficient number, since it is larger than the sum of its proper divisors (311619345648244).

404004441142004 is a wasteful number, since it uses less digits than its factorization.

404004441142004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718608275 (or 3718608273 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 404004441142004 its reverse (400241144400404), we get a palindrome (804245585542408).

The spelling of 404004441142004 in words is "four hundred four trillion, four billion, four hundred forty-one million, one hundred forty-two thousand, four".