442511406561 has 16 divisors (see below), whose sum is σ = 679154201600. Its totient is φ = 251044496208.

The previous prime is 442511406559. The next prime is 442511406599. The reversal of 442511406561 is 165604115244.

It is not a de Polignac number, because 442511406561 - 2¹ = 442511406559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442511406521) 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, 75795541 + ... + 75801378.

It is an arithmetic number, because the mean of its divisors is an integer number (42447137600).

Almost surely, 2^442511406561 is an apocalyptic number.

It is an amenable number.

442511406561 is a deficient number, since it is larger than the sum of its proper divisors (236642795039).

442511406561 is a wasteful number, since it uses less digits than its factorization.

442511406561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151597068.

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 442511406561 in words is "four hundred forty-two billion, five hundred eleven million, four hundred six thousand, five hundred sixty-one".