441016306406001 has 12 divisors (see below), whose sum is σ = 639688924218240. Its totient is φ = 292780699927800.

The previous prime is 441016306405999. The next prime is 441016306406017. The reversal of 441016306406001 is 100604603610144.

441016306406001 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 1 + 6 + 3 + 0 + 6 + 40 + 600 + 1 = 666.

It is not a de Polignac number, because 441016306406001 - 2¹ = 441016306405999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441016306406701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102514248525 + ... + 102514252826.

It is an arithmetic number, because the mean of its divisors is an integer number (53307410351520).

Almost surely, 2^{441016306406001} is an apocalyptic number.

It is an amenable number.

441016306406001 is a deficient number, since it is larger than the sum of its proper divisors (198672617812239).

441016306406001 is a wasteful number, since it uses less digits than its factorization.

441016306406001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205028501596 (or 205028501593 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 441016306406001 in words is "four hundred forty-one trillion, sixteen billion, three hundred six million, four hundred six thousand, one".