404856848418001 has 16 divisors (see below), whose sum is σ = 476000536137984. Its totient is φ = 337167046367424.

The previous prime is 404856848417993. The next prime is 404856848418047. The reversal of 404856848418001 is 100814848658404.

It is a happy number.

It is not a de Polignac number, because 404856848418001 - 2³ = 404856848417993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404856848418091) 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, 5297332426 + ... + 5297408851.

It is an arithmetic number, because the mean of its divisors is an integer number (29750033508624).

Almost surely, 2^{404856848418001} is an apocalyptic number.

It is an amenable number.

404856848418001 is a deficient number, since it is larger than the sum of its proper divisors (71143687719983).

404856848418001 is a wasteful number, since it uses less digits than its factorization.

404856848418001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10594741440.

The product of its (nonzero) digits is 31457280, while the sum is 61.

The spelling of 404856848418001 in words is "four hundred four trillion, eight hundred fifty-six billion, eight hundred forty-eight million, four hundred eighteen thousand, one".