404421222124404 has 18 divisors (see below), whose sum is σ = 1022286978147890. Its totient is φ = 134807074041456.

The previous prime is 404421222124373. The next prime is 404421222124433.

404421222124404 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 2 + 1 + 2 + 221 + 24 + 404 = 666.

404421222124404 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 385522622172900 + 18898599951504 = 19634730^2 + 4347252^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11233922836789 = 404421222124404 / (4 + 0 + 4 + 4 + 2 + 1 + 2 + 2 + 2 + 1 + 2 + 4 + 4 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5616961418359 + ... + 5616961418430.

Almost surely, 2^{404421222124404} is an apocalyptic number.

It is an amenable number.

404421222124404 is an abundant number, since it is smaller than the sum of its proper divisors (617865756023486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404421222124404 is a wasteful number, since it uses less digits than its factorization.

404421222124404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233922836799 (or 11233922836794 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 404421222124404 in words is "four hundred four trillion, four hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-four thousand, four hundred four".