4224514114304 has 72 divisors (see below), whose sum is σ = 9247283619840. Its totient is φ = 1910179865600.

The previous prime is 4224514114277. The next prime is 4224514114309. The reversal of 4224514114304 is 4034114154224.

It is not an unprimeable number, because it can be changed into a prime (4224514114309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3389324 + ... + 4465035.

It is an arithmetic number, because the mean of its divisors is an integer number (128434494720).

Almost surely, 2^{4224514114304} is an apocalyptic number.

4224514114304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4224514114304 is an abundant number, since it is smaller than the sum of its proper divisors (5022769505536).

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

4224514114304 is a wasteful number, since it uses less digits than its factorization.

4224514114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854577 (or 7854563 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 4224514114304 its reverse (4034114154224), we get a palindrome (8258628268528).

The spelling of 4224514114304 in words is "four trillion, two hundred twenty-four billion, five hundred fourteen million, one hundred fourteen thousand, three hundred four".