4164110440321 has 16 divisors (see below), whose sum is σ = 4528208893824. Its totient is φ = 3806296308864.

The previous prime is 4164110440279. The next prime is 4164110440339. The reversal of 4164110440321 is 1230440114614.

It is a cyclic number.

It is not a de Polignac number, because 4164110440321 - 2¹⁹ = 4164109916033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4164110470321) 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 15 ways as a sum of consecutive naturals, for example, 2752645 + ... + 3988141.

It is an arithmetic number, because the mean of its divisors is an integer number (283013055864).

Almost surely, 2^{4164110440321} is an apocalyptic number.

It is an amenable number.

4164110440321 is a deficient number, since it is larger than the sum of its proper divisors (364098453503).

4164110440321 is a wasteful number, since it uses less digits than its factorization.

4164110440321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238040.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 4164110440321 its reverse (1230440114614), we get a palindrome (5394550554935).

The spelling of 4164110440321 in words is "four trillion, one hundred sixty-four billion, one hundred ten million, four hundred forty thousand, three hundred twenty-one".