442430104101040 has 80 divisors (see below), whose sum is σ = 1122935938991136. Its totient is φ = 160772948582400.

The previous prime is 442430104101001. The next prime is 442430104101119. The reversal of 442430104101040 is 40101401034244.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 171729441 + ... + 174286720.

Almost surely, 2^{442430104101040} is an apocalyptic number.

442430104101040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442430104101040 is an abundant number, since it is smaller than the sum of its proper divisors (680505834890096).

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

442430104101040 is a wasteful number, since it uses less digits than its factorization.

442430104101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346017638 (or 346017632 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 442430104101040 its reverse (40101401034244), we get a palindrome (482531505135284).

The spelling of 442430104101040 in words is "four hundred forty-two trillion, four hundred thirty billion, one hundred four million, one hundred one thousand, forty".