442443002100 has 144 divisors (see below), whose sum is σ = 1397507220480. Its totient is φ = 107182396800.

The previous prime is 442443002051. The next prime is 442443002101. The reversal of 442443002100 is 1200344244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442443002101) 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, 4648791 + ... + 4743009.

Almost surely, 2^442443002100 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 442443002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698753610240).

442443002100 is an abundant number, since it is smaller than the sum of its proper divisors (955064218380).

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

442443002100 is a wasteful number, since it uses less digits than its factorization.

442443002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95670 (or 95663 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 442443002100 its reverse (1200344244), we get a palindrome (443643346344).

The spelling of 442443002100 in words is "four hundred forty-two billion, four hundred forty-three million, two thousand, one hundred".