442102400565561 has 24 divisors (see below), whose sum is σ = 638674300372680. Its totient is φ = 294697115467776.

The previous prime is 442102400565499. The next prime is 442102400565587. The reversal of 442102400565561 is 165565004201244.

442102400565561 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 0 + 2 + 40 + 0 + 56 + 556 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 378212257382400 + 63890143183161 = 19447680^2 + 7993131^2 .

It is not a de Polignac number, because 442102400565561 - 2¹¹ = 442102400563513 is a prime.

It is a super-3 number, since 3×442102400565561³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (442102400565361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3544782375 + ... + 3544907091.

It is an arithmetic number, because the mean of its divisors is an integer number (26611429182195).

Almost surely, 2^{442102400565561} is an apocalyptic number.

It is an amenable number.

442102400565561 is a deficient number, since it is larger than the sum of its proper divisors (196571899807119).

442102400565561 is a wasteful number, since it uses less digits than its factorization.

442102400565561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172105 (or 172102 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 442102400565561 in words is "four hundred forty-two trillion, one hundred two billion, four hundred million, five hundred sixty-five thousand, five hundred sixty-one".