442434303434244 has 576 divisors, whose sum is σ = 1211357258496000. Its totient is φ = 125368194631680.

The previous prime is 442434303434239. The next prime is 442434303434281.

442434303434244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442434303434244² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442434303434193 and 442434303434202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112779580867 + ... + 112779584789.

It is an arithmetic number, because the mean of its divisors is an integer number (2103050796000).

Almost surely, 2^{442434303434244} is an apocalyptic number.

442434303434244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442434303434244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605678629248000).

442434303434244 is an abundant number, since it is smaller than the sum of its proper divisors (768922955061756).

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

442434303434244 is a wasteful number, since it uses less digits than its factorization.

442434303434244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 48.

It can be divided in two parts, 44243430 and 3434244, that added together give a palindrome (47677674).

The spelling of 442434303434244 in words is "four hundred forty-two trillion, four hundred thirty-four billion, three hundred three million, four hundred thirty-four thousand, two hundred forty-four".