4211312040221 has 64 divisors (see below), whose sum is σ = 5122786099200. Its totient is φ = 3409522502400.

The previous prime is 4211312040137. The next prime is 4211312040227. The reversal of 4211312040221 is 1220402131124.

It is a cyclic number.

It is not a de Polignac number, because 4211312040221 - 2¹⁴ = 4211312023837 is a prime.

It is a super-2 number, since 2×4211312040221² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211312040227) 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 63 ways as a sum of consecutive naturals, for example, 3939486875 + ... + 3939487943.

It is an arithmetic number, because the mean of its divisors is an integer number (80043532800).

Almost surely, 2^{4211312040221} is an apocalyptic number.

It is an amenable number.

4211312040221 is a deficient number, since it is larger than the sum of its proper divisors (911474058979).

4211312040221 is a wasteful number, since it uses less digits than its factorization.

4211312040221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 4211312040221 its reverse (1220402131124), we get a palindrome (5431714171345).

The spelling of 4211312040221 in words is "four trillion, two hundred eleven billion, three hundred twelve million, forty thousand, two hundred twenty-one".