413114222142441 has 96 divisors (see below), whose sum is σ = 631914393277440. Its totient is φ = 259742707402752.

The previous prime is 413114222142331. The next prime is 413114222142473. The reversal of 413114222142441 is 144241222411314.

413114222142441 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 1 + 4 + 2 + 221 + 424 + 4 + 1 = 666.

It is not a de Polignac number, because 413114222142441 - 2¹⁰ = 413114222141417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413114222142396 and 413114222142405.

It is not an unprimeable number, because it can be changed into a prime (413114222242441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2304347955 + ... + 2304527223.

It is an arithmetic number, because the mean of its divisors is an integer number (6582441596640).

Almost surely, 2^{413114222142441} is an apocalyptic number.

It is an amenable number.

413114222142441 is a deficient number, since it is larger than the sum of its proper divisors (218800171134999).

413114222142441 is a wasteful number, since it uses less digits than its factorization.

413114222142441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180775 (or 180772 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 413114222142441 its reverse (144241222411314), we get a palindrome (557355444553755).

The spelling of 413114222142441 in words is "four hundred thirteen trillion, one hundred fourteen billion, two hundred twenty-two million, one hundred forty-two thousand, four hundred forty-one".