404242221323340 has 288 divisors, whose sum is σ = 1268424880684416. Its totient is φ = 104142104801280.

The previous prime is 404242221323273. The next prime is 404242221323371. The reversal of 404242221323340 is 43323122242404.

404242221323340 is a `hidden beast` number, since 4 + 0 + 42 + 42 + 2 + 213 + 23 + 340 = 666.

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 = 404242221323295 and 404242221323304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338892009 + ... + 340082751.

It is an arithmetic number, because the mean of its divisors is an integer number (4404253057932).

Almost surely, 2^{404242221323340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404242221323340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634212440342208).

404242221323340 is an abundant number, since it is smaller than the sum of its proper divisors (864182659361076).

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

404242221323340 is a wasteful number, since it uses less digits than its factorization.

404242221323340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191249 (or 1191244 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 404242221323340 its reverse (43323122242404), we get a palindrome (447565343565744).

The spelling of 404242221323340 in words is "four hundred four trillion, two hundred forty-two billion, two hundred twenty-one million, three hundred twenty-three thousand, three hundred forty".