442443023100 has 432 divisors, whose sum is σ = 1574401454080. Its totient is φ = 103025779200.

The previous prime is 442443023053. The next prime is 442443023107. The reversal of 442443023100 is 1320344244.

It is a happy number.

442443023100 is a `hidden beast` number, since 4 + 4 + 2 + 44 + 302 + 310 + 0 = 666.

It is a super-2 number, since 2×442443023100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442443023107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241639185 + ... + 241641015.

Almost surely, 2^442443023100 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 442443023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787200727040).

442443023100 is an abundant number, since it is smaller than the sum of its proper divisors (1131958430980).

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

442443023100 is a wasteful number, since it uses less digits than its factorization.

442443023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 442443023100 its reverse (1320344244), we get a palindrome (443763367344).

The spelling of 442443023100 in words is "four hundred forty-two billion, four hundred forty-three million, twenty-three thousand, one hundred".