4004224233313 has 4 divisors (see below), whose sum is σ = 4007525326228. Its totient is φ = 4000923140400.

The previous prime is 4004224233299. The next prime is 4004224233343. The reversal of 4004224233313 is 3133324224004.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 331508789824 + 3672715443489 = 575768^2 + 1916433^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004224233313 - 2⁴¹ = 1805200977761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004224233343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1650544638 + ... + 1650547063.

It is an arithmetic number, because the mean of its divisors is an integer number (1001881331557).

Almost surely, 2^{4004224233313} is an apocalyptic number.

It is an amenable number.

4004224233313 is a deficient number, since it is larger than the sum of its proper divisors (3301092915).

4004224233313 is a wasteful number, since it uses less digits than its factorization.

4004224233313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301092914.

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 4004224233313 its reverse (3133324224004), we get a palindrome (7137548457317).

The spelling of 4004224233313 in words is "four trillion, four billion, two hundred twenty-four million, two hundred thirty-three thousand, three hundred thirteen".