442115231412000 has 96 divisors (see below), whose sum is σ = 1448369498145024. Its totient is φ = 117897395040000.

The previous prime is 442115231411989. The next prime is 442115231412007. The reversal of 442115231412000 is 214132511244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (442115231412007) 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 15 ways as a sum of consecutive naturals, for example, 18421455976 + ... + 18421479975.

It is an arithmetic number, because the mean of its divisors is an integer number (15087182272344).

Almost surely, 2^{442115231412000} is an apocalyptic number.

442115231412000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442115231412000 is an abundant number, since it is smaller than the sum of its proper divisors (1006254266733024).

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

442115231412000 is a wasteful number, since it uses less digits than its factorization.

442115231412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36842935979 (or 36842935961 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 442115231412000 its reverse (214132511244), we get a palindrome (442329363923244).

The spelling of 442115231412000 in words is "four hundred forty-two trillion, one hundred fifteen billion, two hundred thirty-one million, four hundred twelve thousand".