442105334465025 has 192 divisors, whose sum is σ = 942647866675200. Its totient is φ = 181215200678400.

The previous prime is 442105334464987. The next prime is 442105334465057. The reversal of 442105334465025 is 520564433501244.

It is not a de Polignac number, because 442105334465025 - 2⁶ = 442105334464961 is a prime.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 9956164 + ... + 31358186.

It is an arithmetic number, because the mean of its divisors is an integer number (4909624305600).

Almost surely, 2^{442105334465025} is an apocalyptic number.

It is an amenable number.

442105334465025 is an abundant number, since it is smaller than the sum of its proper divisors (500542532210175).

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

442105334465025 is a wasteful number, since it uses less digits than its factorization.

442105334465025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21402141 (or 21402122 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 48.

Adding to 442105334465025 its reverse (520564433501244), we get a palindrome (962669767966269).

The spelling of 442105334465025 in words is "four hundred forty-two trillion, one hundred five billion, three hundred thirty-four million, four hundred sixty-five thousand, twenty-five".