414443241441 has 32 divisors (see below), whose sum is σ = 641720832000. Its totient is φ = 263855451024.

The previous prime is 414443241353. The next prime is 414443241449. The reversal of 414443241441 is 144142344414.

414443241441 is a `hidden beast` number, since 4 + 144 + 4 + 32 + 41 + 441 = 666.

It is not a de Polignac number, because 414443241441 - 2¹⁴ = 414443225057 is a prime.

It is a super-2 number, since 2×414443241441² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414443241396 and 414443241405.

It is not an unprimeable number, because it can be changed into a prime (414443241449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154681 + ... + 923478.

It is an arithmetic number, because the mean of its divisors is an integer number (20053776000).

Almost surely, 2^414443241441 is an apocalyptic number.

It is an amenable number.

414443241441 is a deficient number, since it is larger than the sum of its proper divisors (227277590559).

414443241441 is a wasteful number, since it uses less digits than its factorization.

414443241441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078810 (or 1078804 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 414443241441 its reverse (144142344414), we get a palindrome (558585585855).

The spelling of 414443241441 in words is "four hundred fourteen billion, four hundred forty-three million, two hundred forty-one thousand, four hundred forty-one".