442003200030 has 288 divisors, whose sum is σ = 1394073888480. Its totient is φ = 100466231040.

The previous prime is 442003200019. The next prime is 442003200031. The reversal of 442003200030 is 30002300244.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442003199976 and 442003200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442003200031) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21541416 + ... + 21561924.

It is an arithmetic number, because the mean of its divisors is an integer number (4840534335).

Almost surely, 2^442003200030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442003200030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697036944240).

442003200030 is an abundant number, since it is smaller than the sum of its proper divisors (952070688450).

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

442003200030 is a wasteful number, since it uses less digits than its factorization.

442003200030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20726 (or 20707 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 442003200030 its reverse (30002300244), we get a palindrome (472005500274).

The spelling of 442003200030 in words is "four hundred forty-two billion, three million, two hundred thousand, thirty".