404331543224253 has 160 divisors (see below), whose sum is σ = 619488560908800. Its totient is φ = 262757588760576.

The previous prime is 404331543224227. The next prime is 404331543224263. The reversal of 404331543224253 is 352422345133404.

404331543224253 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 31 + 543 + 2 + 24 + 2 + 53 = 666.

It is not a de Polignac number, because 404331543224253 - 2¹⁰ = 404331543223229 is a prime.

It is a super-2 number, since 2×404331543224253² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 404331543224199 and 404331543224208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404331543224263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125685899301 + ... + 125685902517.

It is an arithmetic number, because the mean of its divisors is an integer number (3871803505680).

Almost surely, 2^{404331543224253} is an apocalyptic number.

It is an amenable number.

404331543224253 is a deficient number, since it is larger than the sum of its proper divisors (215157017684547).

404331543224253 is a wasteful number, since it uses less digits than its factorization.

404331543224253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Adding to 404331543224253 its reverse (352422345133404), we get a palindrome (756753888357657).

The spelling of 404331543224253 in words is "four hundred four trillion, three hundred thirty-one billion, five hundred forty-three million, two hundred twenty-four thousand, two hundred fifty-three".