4224131242401 has 48 divisors (see below), whose sum is σ = 6663144084480. Its totient is φ = 2372932023840.

The previous prime is 4224131242367. The next prime is 4224131242403. The reversal of 4224131242401 is 1042421314224.

It is not a de Polignac number, because 4224131242401 - 2¹¹ = 4224131240353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4224131242403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3038460 + ... + 4204818.

It is an arithmetic number, because the mean of its divisors is an integer number (138815501760).

Almost surely, 2^{4224131242401} is an apocalyptic number.

It is an amenable number.

4224131242401 is a deficient number, since it is larger than the sum of its proper divisors (2439012842079).

4224131242401 is a wasteful number, since it uses less digits than its factorization.

4224131242401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166794 (or 1166787 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4224131242401 its reverse (1042421314224), we get a palindrome (5266552556625).

The spelling of 4224131242401 in words is "four trillion, two hundred twenty-four billion, one hundred thirty-one million, two hundred forty-two thousand, four hundred one".