4424201121312 has 144 divisors (see below), whose sum is σ = 14379939624960. Its totient is φ = 1263944411136.

The previous prime is 4424201121289. The next prime is 4424201121331. The reversal of 4424201121312 is 2131211024244.

4424201121312 is a `hidden beast` number, since 4 + 4 + 2 + 420 + 11 + 213 + 12 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23904264 + ... + 24088632.

It is an arithmetic number, because the mean of its divisors is an integer number (99860691840).

Almost surely, 2^{4424201121312} is an apocalyptic number.

4424201121312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4424201121312 is an abundant number, since it is smaller than the sum of its proper divisors (9955738503648).

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

4424201121312 is a wasteful number, since it uses less digits than its factorization.

4424201121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196295 (or 196284 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4424201121312 its reverse (2131211024244), we get a palindrome (6555412145556).

The spelling of 4424201121312 in words is "four trillion, four hundred twenty-four billion, two hundred one million, one hundred twenty-one thousand, three hundred twelve".