442134105435 has 96 divisors (see below), whose sum is σ = 885589106688. Its totient is φ = 201672668160.

The previous prime is 442134105409. The next prime is 442134105437. The reversal of 442134105435 is 534501431244.

442134105435 is a `hidden beast` number, since 4 + 4 + 213 + 4 + 1 + 0 + 5 + 435 = 666.

It is not a de Polignac number, because 442134105435 - 2⁵ = 442134105403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442134105435.

It is not an unprimeable number, because it can be changed into a prime (442134105437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22567654 + ... + 22587236.

It is an arithmetic number, because the mean of its divisors is an integer number (9224886528).

Almost surely, 2^442134105435 is an apocalyptic number.

442134105435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

442134105435 is an abundant number, since it is smaller than the sum of its proper divisors (443455001253).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442134105435 is a wasteful number, since it uses less digits than its factorization.

442134105435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22305 (or 22302 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 442134105435 its reverse (534501431244), we get a palindrome (976635536679).

The spelling of 442134105435 in words is "four hundred forty-two billion, one hundred thirty-four million, one hundred five thousand, four hundred thirty-five".