442430034244 has 72 divisors (see below), whose sum is σ = 948525590880. Its totient is φ = 179312981760.

The previous prime is 442430034223. The next prime is 442430034287.

442430034244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442430034244² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258702 + ... + 1571365.

It is an arithmetic number, because the mean of its divisors is an integer number (13173966540).

Almost surely, 2^442430034244 is an apocalyptic number.

442430034244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442430034244 is an abundant number, since it is smaller than the sum of its proper divisors (506095556636).

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

442430034244 is a wasteful number, since it uses less digits than its factorization.

442430034244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830129 (or 2830116 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 4424300 and 34244, that added together give a palindrome (4458544).

The spelling of 442430034244 in words is "four hundred forty-two billion, four hundred thirty million, thirty-four thousand, two hundred forty-four".