442312144100 has 144 divisors (see below), whose sum is σ = 1009781203200. Its totient is φ = 167940864000.

The previous prime is 442312144073. The next prime is 442312144103. The reversal of 442312144100 is 1441213244.

It is a self number, because there is not a number n which added to its sum of digits gives 442312144100.

It is not an unprimeable number, because it can be changed into a prime (442312144103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55209095 + ... + 55217105.

Almost surely, 2^442312144100 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 442312144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504890601600).

442312144100 is an abundant number, since it is smaller than the sum of its proper divisors (567469059100).

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

442312144100 is a wasteful number, since it uses less digits than its factorization.

442312144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 442312144100 its reverse (1441213244), we get a palindrome (443753357344).

The spelling of 442312144100 in words is "four hundred forty-two billion, three hundred twelve million, one hundred forty-four thousand, one hundred".