42434304224 has 48 divisors (see below), whose sum is σ = 90204129792. Its totient is φ = 19533854208.

The previous prime is 42434304221. The next prime is 42434304233. The reversal of 42434304224 is 42240343424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434304221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26162 + ... + 292494.

It is an arithmetic number, because the mean of its divisors is an integer number (1879252704).

Almost surely, 2^42434304224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42434304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45102064896).

42434304224 is an abundant number, since it is smaller than the sum of its proper divisors (47769825568).

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

42434304224 is a wasteful number, since it uses less digits than its factorization.

42434304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266739 (or 266731 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 42434304224 its reverse (42240343424), we get a palindrome (84674647648).

The spelling of 42434304224 in words is "forty-two billion, four hundred thirty-four million, three hundred four thousand, two hundred twenty-four".