442430311024002 has 96 divisors (see below), whose sum is σ = 1049153488733952. Its totient is φ = 123975749753856.

The previous prime is 442430311023991. The next prime is 442430311024003. The reversal of 442430311024002 is 200420113034244.

It is a super-2 number, since 2×442430311024002² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442430311024003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34929063 + ... + 45879189.

It is an arithmetic number, because the mean of its divisors is an integer number (10928682174312).

Almost surely, 2^{442430311024002} is an apocalyptic number.

442430311024002 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 442430311024002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524576744366976).

442430311024002 is an abundant number, since it is smaller than the sum of its proper divisors (606723177709950).

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

442430311024002 is a wasteful number, since it uses less digits than its factorization.

442430311024002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952792 (or 10952785 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 442430311024002 its reverse (200420113034244), we get a palindrome (642850424058246).

The spelling of 442430311024002 in words is "four hundred forty-two trillion, four hundred thirty billion, three hundred eleven million, twenty-four thousand, two".