4004202424221 has 6 divisors (see below), whose sum is σ = 5783847946110. Its totient is φ = 2669468282808.

The previous prime is 4004202424193. The next prime is 4004202424231. The reversal of 4004202424221 is 1224242024004.

It can be written as a sum of positive squares in only one way, i.e., 2930896064196 + 1073306360025 = 1711986^2 + 1036005^2 .

It is not a de Polignac number, because 4004202424221 - 2¹⁷ = 4004202293149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004202424231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222455690226 + ... + 222455690243.

It is an arithmetic number, because the mean of its divisors is an integer number (963974657685).

Almost surely, 2^{4004202424221} is an apocalyptic number.

It is an amenable number.

4004202424221 is a deficient number, since it is larger than the sum of its proper divisors (1779645521889).

4004202424221 is a wasteful number, since it uses less digits than its factorization.

4004202424221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444911380475 (or 444911380472 counting only the distinct ones).

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

Adding to 4004202424221 its reverse (1224242024004), we get a palindrome (5228444448225).

The spelling of 4004202424221 in words is "four trillion, four billion, two hundred two million, four hundred twenty-four thousand, two hundred twenty-one".