4430212324304 has 160 divisors (see below), whose sum is σ = 9364096909440. Its totient is φ = 2018338560000.

The previous prime is 4430212324277. The next prime is 4430212324339. The reversal of 4430212324304 is 4034232120344.

It is a super-3 number, since 3×4430212324304³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3581415974 + ... + 3581417210.

It is an arithmetic number, because the mean of its divisors is an integer number (58525605684).

Almost surely, 2^{4430212324304} 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 4430212324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682048454720).

4430212324304 is an abundant number, since it is smaller than the sum of its proper divisors (4933884585136).

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

4430212324304 is a wasteful number, since it uses less digits than its factorization.

4430212324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4430212324304 its reverse (4034232120344), we get a palindrome (8464444444648).

The spelling of 4430212324304 in words is "four trillion, four hundred thirty billion, two hundred twelve million, three hundred twenty-four thousand, three hundred four".