4431145410441 has 16 divisors (see below), whose sum is σ = 6675925291200. Its totient is φ = 2904027499584.

The previous prime is 4431145410437. The next prime is 4431145410449. The reversal of 4431145410441 is 1440145411344.

4431145410441 is a `hidden beast` number, since 4 + 4 + 31 + 145 + 41 + 0 + 441 = 666.

It is not a de Polignac number, because 4431145410441 - 2² = 4431145410437 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4431145410396 and 4431145410405.

It is not an unprimeable number, because it can be changed into a prime (4431145410449) 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, 1390816176 + ... + 1390819361.

It is an arithmetic number, because the mean of its divisors is an integer number (417245330700).

Almost surely, 2^{4431145410441} is an apocalyptic number.

It is an amenable number.

4431145410441 is a deficient number, since it is larger than the sum of its proper divisors (2244779880759).

4431145410441 is a wasteful number, since it uses less digits than its factorization.

4431145410441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781635605 (or 2781635599 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4431145410441 in words is "four trillion, four hundred thirty-one billion, one hundred forty-five million, four hundred ten thousand, four hundred forty-one".