442866766905 has 24 divisors (see below), whose sum is σ = 768405752712. Its totient is φ = 235958678784.

The previous prime is 442866766897. The next prime is 442866766931. The reversal of 442866766905 is 509667668244.

442866766905 is a `hidden beast` number, since 4 + 428 + 6 + 67 + 66 + 90 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14742573561 + 428124193344 = 121419^2 + 654312^2 .

It is not a de Polignac number, because 442866766905 - 2³ = 442866766897 is a prime.

It is a super-2 number, since 2×442866766905² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4890684 + ... + 4980413.

It is an arithmetic number, because the mean of its divisors is an integer number (32016906363).

Almost surely, 2^442866766905 is an apocalyptic number.

442866766905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442866766905 is a deficient number, since it is larger than the sum of its proper divisors (325538985807).

442866766905 is a wasteful number, since it uses less digits than its factorization.

442866766905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9872105 (or 9872102 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 442866766905 in words is "four hundred forty-two billion, eight hundred sixty-six million, seven hundred sixty-six thousand, nine hundred five".