4004414214404 has 12 divisors (see below), whose sum is σ = 7008770383104. Its totient is φ = 2001908390664.

The previous prime is 4004414214403. The next prime is 4004414214467. The reversal of 4004414214404 is 4044124144004.

It is not an unprimeable number, because it can be changed into a prime (4004414214403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74648972 + ... + 74702595.

It is an arithmetic number, because the mean of its divisors is an integer number (584064198592).

Almost surely, 2^{4004414214404} is an apocalyptic number.

It is an amenable number.

4004414214404 is a deficient number, since it is larger than the sum of its proper divisors (3004356168700).

4004414214404 is a wasteful number, since it uses less digits than its factorization.

4004414214404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149358274 (or 149358272 counting only the distinct ones).

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

Adding to 4004414214404 its reverse (4044124144004), we get a palindrome (8048538358408).

The spelling of 4004414214404 in words is "four trillion, four billion, four hundred fourteen million, two hundred fourteen thousand, four hundred four".