441434221216461 has 12 divisors (see below), whose sum is σ = 695593318280640. Its totient is φ = 267535891646280.

The previous prime is 441434221216447. The next prime is 441434221216463. The reversal of 441434221216461 is 164612122434144.

441434221216461 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 3 + 422 + 1 + 2 + 164 + 61 = 666.

It is not a de Polignac number, because 441434221216461 - 2²⁷ = 441434086998733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441434221216463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2229465763621 + ... + 2229465763818.

It is an arithmetic number, because the mean of its divisors is an integer number (57966109856720).

Almost surely, 2^{441434221216461} is an apocalyptic number.

It is an amenable number.

441434221216461 is a deficient number, since it is larger than the sum of its proper divisors (254159097064179).

441434221216461 is a wasteful number, since it uses less digits than its factorization.

441434221216461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458931527456 (or 4458931527453 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 441434221216461 in words is "four hundred forty-one trillion, four hundred thirty-four billion, two hundred twenty-one million, two hundred sixteen thousand, four hundred sixty-one".