414110341211321 has 32 divisors (see below), whose sum is σ = 434271095193600. Its totient is φ = 394386493818240.

The previous prime is 414110341211291. The next prime is 414110341211417. The reversal of 414110341211321 is 123112143011414.

It is a cyclic number.

It is not a de Polignac number, because 414110341211321 - 2²² = 414110337017017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414110341213321) 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 31 ways as a sum of consecutive naturals, for example, 20064447320 + ... + 20064467958.

It is an arithmetic number, because the mean of its divisors is an integer number (13570971724800).

Almost surely, 2^{414110341211321} is an apocalyptic number.

It is an amenable number.

414110341211321 is a deficient number, since it is larger than the sum of its proper divisors (20160753982279).

414110341211321 is a wasteful number, since it uses less digits than its factorization.

414110341211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29669.

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 414110341211321 its reverse (123112143011414), we get a palindrome (537222484222735).

The spelling of 414110341211321 in words is "four hundred fourteen trillion, one hundred ten billion, three hundred forty-one million, two hundred eleven thousand, three hundred twenty-one".