442213030001000 has 32 divisors (see below), whose sum is σ = 1034778490204680. Its totient is φ = 176885212000000.

The previous prime is 442213030000999. The next prime is 442213030001011. The reversal of 442213030001000 is 100030312244.

It can be written as a sum of positive squares in 4 ways, for example, as 245962574041636 + 196250455959364 = 15683194^2 + 14008942^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 221106514001 + ... + 221106516000.

Almost surely, 2^{442213030001000} is an apocalyptic number.

442213030001000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442213030001000 is an abundant number, since it is smaller than the sum of its proper divisors (592565460203680).

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

442213030001000 is a wasteful number, since it uses less digits than its factorization.

442213030001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442213030022 (or 442213030008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 442213030001000 its reverse (100030312244), we get a palindrome (442313060313244).

The spelling of 442213030001000 in words is "four hundred forty-two trillion, two hundred thirteen billion, thirty million, one thousand".