404424420201 has 24 divisors (see below), whose sum is σ = 591452788680. Its totient is φ = 266261740800.

The previous prime is 404424420167. The next prime is 404424420203. The reversal of 404424420201 is 102024424404.

It can be written as a sum of positive squares in 4 ways, for example, as 29942841600 + 374481578601 = 173040^2 + 611949^2 .

It is not a de Polignac number, because 404424420201 - 2⁶ = 404424420137 is a prime.

It is a super-2 number, since 2×404424420201² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (404424420203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350131 + ... + 965111.

It is an arithmetic number, because the mean of its divisors is an integer number (24643866195).

Almost surely, 2^404424420201 is an apocalyptic number.

It is an amenable number.

404424420201 is a deficient number, since it is larger than the sum of its proper divisors (187028368479).

404424420201 is a wasteful number, since it uses less digits than its factorization.

404424420201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615897 (or 615894 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 404424420201 its reverse (102024424404), we get a palindrome (506448844605).

The spelling of 404424420201 in words is "four hundred four billion, four hundred twenty-four million, four hundred twenty thousand, two hundred one".