413241332224301 has 64 divisors (see below), whose sum is σ = 526914146603520. Its totient is φ = 315502294302720.

The previous prime is 413241332224261. The next prime is 413241332224319. The reversal of 413241332224301 is 103422233142314.

It is a happy number.

It is not a de Polignac number, because 413241332224301 - 2¹⁸ = 413241331962157 is a prime.

It is a super-2 number, since 2×413241332224301² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413241332214301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9444846641 + ... + 9444890393.

It is an arithmetic number, because the mean of its divisors is an integer number (8233033540680).

Almost surely, 2^{413241332224301} is an apocalyptic number.

It is an amenable number.

413241332224301 is a deficient number, since it is larger than the sum of its proper divisors (113672814379219).

413241332224301 is a wasteful number, since it uses less digits than its factorization.

413241332224301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47974.

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 413241332224301 its reverse (103422233142314), we get a palindrome (516663565366615).

The spelling of 413241332224301 in words is "four hundred thirteen trillion, two hundred forty-one billion, three hundred thirty-two million, two hundred twenty-four thousand, three hundred one".