404145224001 has 12 divisors (see below), whose sum is σ = 593335247700. Its totient is φ = 265013261280.

The previous prime is 404145223907. The next prime is 404145224011. The reversal of 404145224001 is 100422541404.

404145224001 is a `hidden beast` number, since 4 + 0 + 414 + 5 + 2 + 240 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138841938225 + 265303285776 = 372615^2 + 515076^2 .

It is not a de Polignac number, because 404145224001 - 2¹⁰ = 404145222977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404145224011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368073426 + ... + 368074523.

It is an arithmetic number, because the mean of its divisors is an integer number (49444603975).

Almost surely, 2^404145224001 is an apocalyptic number.

It is an amenable number.

404145224001 is a deficient number, since it is larger than the sum of its proper divisors (189190023699).

404145224001 is a wasteful number, since it uses less digits than its factorization.

404145224001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736148016 (or 736148013 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 404145224001 its reverse (100422541404), we get a palindrome (504567765405).

The spelling of 404145224001 in words is "four hundred four billion, one hundred forty-five million, two hundred twenty-four thousand, one".