442231142100 has 144 divisors (see below), whose sum is σ = 1396093310976. Its totient is φ = 107188272000.

The previous prime is 442231142077. The next prime is 442231142137. The reversal of 442231142100 is 1241132244.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28725405 + ... + 28740795.

Almost surely, 2^442231142100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442231142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698046655488).

442231142100 is an abundant number, since it is smaller than the sum of its proper divisors (953862168876).

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

442231142100 is a wasteful number, since it uses less digits than its factorization.

442231142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24126 (or 24119 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 442231142100 its reverse (1241132244), we get a palindrome (443472274344).

The spelling of 442231142100 in words is "four hundred forty-two billion, two hundred thirty-one million, one hundred forty-two thousand, one hundred".