441456461001 has 48 divisors (see below), whose sum is σ = 683757168640. Its totient is φ = 273637789920.

The previous prime is 441456460999. The next prime is 441456461009. The reversal of 441456461001 is 100164654144.

441456461001 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 5 + 646 + 1 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 441456461001 - 2¹ = 441456460999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441456461009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3033756 + ... + 3175938.

Almost surely, 2^441456461001 is an apocalyptic number.

It is an amenable number.

441456461001 is a deficient number, since it is larger than the sum of its proper divisors (242300707639).

441456461001 is a wasteful number, since it uses less digits than its factorization.

441456461001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142546 (or 142543 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 441456461001 in words is "four hundred forty-one billion, four hundred fifty-six million, four hundred sixty-one thousand, one".