442502544452000 has 96 divisors (see below), whose sum is σ = 1087261240089024. Its totient is φ = 176995728672000.

The previous prime is 442502544451943. The next prime is 442502544452009. The reversal of 442502544452000 is 254445205244.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (442502544452009) 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, 133608059 + ... + 136879941.

It is an arithmetic number, because the mean of its divisors is an integer number (11325637917594).

Almost surely, 2^{442502544452000} is an apocalyptic number.

442502544452000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442502544452000 is an abundant number, since it is smaller than the sum of its proper divisors (644758695637024).

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

442502544452000 is a wasteful number, since it uses less digits than its factorization.

442502544452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305719 (or 3305701 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 41.

Adding to 442502544452000 its reverse (254445205244), we get a palindrome (442756989657244).

The spelling of 442502544452000 in words is "four hundred forty-two trillion, five hundred two billion, five hundred forty-four million, four hundred fifty-two thousand".