4122434304 has 144 divisors (see below), whose sum is σ = 12268905600. Its totient is φ = 1365341184.

The previous prime is 4122434299. The next prime is 4122434333. The reversal of 4122434304 is 4034342214.

It is a happy number.

4122434304 is a `hidden beast` number, since 4 + 1 + 224 + 3 + 430 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124827 + ... + 1128485.

Almost surely, 2^4122434304 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 4122434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134452800).

4122434304 is an abundant number, since it is smaller than the sum of its proper divisors (8146471296).

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

4122434304 is a wasteful number, since it uses less digits than its factorization.

4122434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4122434304 is about 64206.1858702104. The cubic root of 4122434304 is about 1603.4345886417.

Adding to 4122434304 its reverse (4034342214), we get a palindrome (8156776518).

The spelling of 4122434304 in words is "four billion, one hundred twenty-two million, four hundred thirty-four thousand, three hundred four".