404021424321 has 24 divisors (see below), whose sum is σ = 598018566600. Its totient is φ = 262691020800.

The previous prime is 404021424319. The next prime is 404021424361. The reversal of 404021424321 is 123424120404.

404021424321 is a `hidden beast` number, since 4 + 0 + 402 + 14 + 243 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212668545600 + 191352878721 = 461160^2 + 437439^2 .

It is not a de Polignac number, because 404021424321 - 2¹ = 404021424319 is a prime.

It is a super-2 number, since 2×404021424321² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404021424361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942105 + ... + 1302153.

It is an arithmetic number, because the mean of its divisors is an integer number (24917440275).

Almost surely, 2^404021424321 is an apocalyptic number.

404021424321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

404021424321 is a deficient number, since it is larger than the sum of its proper divisors (193997142279).

404021424321 is a wasteful number, since it uses less digits than its factorization.

404021424321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363137 (or 363134 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 404021424321 its reverse (123424120404), we get a palindrome (527445544725).

The spelling of 404021424321 in words is "four hundred four billion, twenty-one million, four hundred twenty-four thousand, three hundred twenty-one".