404224022005344 has 96 divisors (see below), whose sum is σ = 1210851237183840. Its totient is φ = 131099682802176.

The previous prime is 404224022005291. The next prime is 404224022005373. The reversal of 404224022005344 is 443500220422404.

It is a happy number.

404224022005344 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 2 + 402 + 200 + 5 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404224022005299 and 404224022005308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6322290699 + ... + 6322354634.

It is an arithmetic number, because the mean of its divisors is an integer number (12613033720665).

Almost surely, 2^{404224022005344} is an apocalyptic number.

It is an amenable number.

404224022005344 is an abundant number, since it is smaller than the sum of its proper divisors (806627215178496).

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

404224022005344 is a wasteful number, since it uses less digits than its factorization.

404224022005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12644645389 (or 12644645375 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 404224022005344 its reverse (443500220422404), we get a palindrome (847724242427748).

The spelling of 404224022005344 in words is "four hundred four trillion, two hundred twenty-four billion, twenty-two million, five thousand, three hundred forty-four".