442443304002 has 64 divisors (see below), whose sum is σ = 1072173729024. Its totient is φ = 118822287360.

The previous prime is 442443303979. The next prime is 442443304007. The reversal of 442443304002 is 200403344244.

It is not an unprimeable number, because it can be changed into a prime (442443304007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151102 + ... + 952742.

It is an arithmetic number, because the mean of its divisors is an integer number (16752714516).

Almost surely, 2^442443304002 is an apocalyptic number.

442443304002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442443304002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536086864512).

442443304002 is an abundant number, since it is smaller than the sum of its proper divisors (629730425022).

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

442443304002 is a wasteful number, since it uses less digits than its factorization.

442443304002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802443.

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 442443304002 its reverse (200403344244), we get a palindrome (642846648246).

The spelling of 442443304002 in words is "four hundred forty-two billion, four hundred forty-three million, three hundred four thousand, two".