3004211140021 has 48 divisors (see below), whose sum is σ = 3840933197808. Its totient is φ = 2328213888000.

The previous prime is 3004211139971. The next prime is 3004211140033. The reversal of 3004211140021 is 1200411124003.

It can be written as a sum of positive squares in 8 ways, for example, as 13002840900 + 2991208299121 = 114030^2 + 1729511^2 .

It is not a de Polignac number, because 3004211140021 - 2⁷ = 3004211139893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004211140421) 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 47 ways as a sum of consecutive naturals, for example, 20216331 + ... + 20364391.

It is an arithmetic number, because the mean of its divisors is an integer number (80019441621).

Almost surely, 2^{3004211140021} is an apocalyptic number.

It is an amenable number.

3004211140021 is a deficient number, since it is larger than the sum of its proper divisors (836722057787).

3004211140021 is a wasteful number, since it uses less digits than its factorization.

3004211140021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148742 (or 148735 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 3004211140021 its reverse (1200411124003), we get a palindrome (4204622264024).

The spelling of 3004211140021 in words is "three trillion, four billion, two hundred eleven million, one hundred forty thousand, twenty-one".