404004003667 has 16 divisors (see below), whose sum is σ = 453452842080. Its totient is φ = 356753606400.

The previous prime is 404004003661. The next prime is 404004003679. The reversal of 404004003667 is 766300400404.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-404004003667 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404004003661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852608 + ... + 2059165.

It is an arithmetic number, because the mean of its divisors is an integer number (28340802630).

Almost surely, 2^404004003667 is an apocalyptic number.

404004003667 is a deficient number, since it is larger than the sum of its proper divisors (49448838413).

404004003667 is a wasteful number, since it uses less digits than its factorization.

404004003667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912054.

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 404004003667 in words is "four hundred four billion, four million, three thousand, six hundred sixty-seven".