442443000321300 has 576 divisors, whose sum is σ = 1454637081268224. Its totient is φ = 102903129907200.

The previous prime is 442443000321269. The next prime is 442443000321307. The reversal of 442443000321300 is 3123000344244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442443000321307) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1845415032 + ... + 1845654768.

It is an arithmetic number, because the mean of its divisors is an integer number (2525411599424).

Almost surely, 2^{442443000321300} 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 442443000321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727318540634112).

442443000321300 is an abundant number, since it is smaller than the sum of its proper divisors (1012194080946924).

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

442443000321300 is a wasteful number, since it uses less digits than its factorization.

442443000321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240048 (or 240041 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 442443000321300 its reverse (3123000344244), we get a palindrome (445566000665544).

The spelling of 442443000321300 in words is "four hundred forty-two trillion, four hundred forty-three billion, three hundred twenty-one thousand, three hundred".