442434024234 has 128 divisors (see below), whose sum is σ = 1017809971200. Its totient is φ = 142383121920.

The previous prime is 442434024223. The next prime is 442434024239. The reversal of 442434024234 is 432420434244.

442434024234 is a `hidden beast` number, since 4 + 4 + 243 + 402 + 4 + 2 + 3 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (442434024239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100073344 + ... + 100077764.

It is an arithmetic number, because the mean of its divisors is an integer number (7951640400).

Almost surely, 2^442434024234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442434024234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508904985600).

442434024234 is an abundant number, since it is smaller than the sum of its proper divisors (575375946966).

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

442434024234 is a wasteful number, since it uses less digits than its factorization.

442434024234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 442434024234 its reverse (432420434244), we get a palindrome (874854458478).

The spelling of 442434024234 in words is "four hundred forty-two billion, four hundred thirty-four million, twenty-four thousand, two hundred thirty-four".