414023441422201 has 16 divisors (see below), whose sum is σ = 463225872105360. Its totient is φ = 367413341137920.

The previous prime is 414023441422193. The next prime is 414023441422207. The reversal of 414023441422201 is 102224144320414.

It can be written as a sum of positive squares in 8 ways, for example, as 34587325447801 + 379436115974400 = 5881099^2 + 19479120^2 .

It is not a de Polignac number, because 414023441422201 - 2³ = 414023441422193 is a prime.

It is a super-3 number, since 3×414023441422201³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (414023441422207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2356576140 + ... + 2356751821.

It is an arithmetic number, because the mean of its divisors is an integer number (28951617006585).

Almost surely, 2^{414023441422201} is an apocalyptic number.

It is an amenable number.

414023441422201 is a deficient number, since it is larger than the sum of its proper divisors (49202430683159).

414023441422201 is a wasteful number, since it uses less digits than its factorization.

414023441422201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713328236.

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 414023441422201 its reverse (102224144320414), we get a palindrome (516247585742615).

The spelling of 414023441422201 in words is "four hundred fourteen trillion, twenty-three billion, four hundred forty-one million, four hundred twenty-two thousand, two hundred one".