442431100110312 has 96 divisors (see below), whose sum is σ = 1198654543738080. Its totient is φ = 147427362080640.

The previous prime is 442431100110277. The next prime is 442431100110343. The reversal of 442431100110312 is 213011001134244.

It is a happy number.

442431100110312 is a `hidden beast` number, since 4 + 4 + 2 + 431 + 100 + 110 + 3 + 12 = 666.

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, 2716669878 + ... + 2716832730.

It is an arithmetic number, because the mean of its divisors is an integer number (12485984830605).

Almost surely, 2^{442431100110312} is an apocalyptic number.

It is an amenable number.

442431100110312 is an abundant number, since it is smaller than the sum of its proper divisors (756223443627768).

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

442431100110312 is a wasteful number, since it uses less digits than its factorization.

442431100110312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175343 (or 175336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 442431100110312 its reverse (213011001134244), we get a palindrome (655442101244556).

The spelling of 442431100110312 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, one hundred ten thousand, three hundred twelve".