4004221013 has 8 divisors (see below), whose sum is σ = 4356695448. Its totient is φ = 3658097664.

The previous prime is 4004220991. The next prime is 4004221019. The reversal of 4004221013 is 3101224004.

It can be written as a sum of positive squares in 4 ways, for example, as 2140369 + 4002080644 = 1463^2 + 63262^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4004221013 - 2⁸ = 4004220757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4004220982 and 4004221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004221019) 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 7 ways as a sum of consecutive naturals, for example, 1586456 + ... + 1588977.

It is an arithmetic number, because the mean of its divisors is an integer number (544586931).

Almost surely, 2^4004221013 is an apocalyptic number.

It is an amenable number.

4004221013 is a deficient number, since it is larger than the sum of its proper divisors (352474435).

4004221013 is a wasteful number, since it uses less digits than its factorization.

4004221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175543.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4004221013 is about 63278.9144423322. The cubic root of 4004221013 is about 1587.9592257157.

Adding to 4004221013 its reverse (3101224004), we get a palindrome (7105445017).

The spelling of 4004221013 in words is "four billion, four million, two hundred twenty-one thousand, thirteen".