442150315002 has 96 divisors (see below), whose sum is σ = 1057021056000. Its totient is φ = 132462479520.

The previous prime is 442150314919. The next prime is 442150315031. The reversal of 442150315002 is 200513051244.

442150315002 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 503 + 150 + 0 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6544149 + ... + 6611367.

It is an arithmetic number, because the mean of its divisors is an integer number (11010636000).

Almost surely, 2^442150315002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442150315002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528510528000).

442150315002 is an abundant number, since it is smaller than the sum of its proper divisors (614870740998).

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

442150315002 is a wasteful number, since it uses less digits than its factorization.

442150315002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67616 (or 67613 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 442150315002 its reverse (200513051244), we get a palindrome (642663366246).

The spelling of 442150315002 in words is "four hundred forty-two billion, one hundred fifty million, three hundred fifteen thousand, two".