4201444420401 has 8 divisors (see below), whose sum is σ = 5614863368800. Its totient is φ = 2794494209472.

The previous prime is 4201444420399. The next prime is 4201444420421. The reversal of 4201444420401 is 1040244441024.

4201444420401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4201444420401 - 2¹ = 4201444420399 is a prime.

It is a super-4 number, since 4×4201444420401⁴ (a number of 52 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4201444420421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1617182851 + ... + 1617185448.

It is an arithmetic number, because the mean of its divisors is an integer number (701857921100).

Almost surely, 2^{4201444420401} is an apocalyptic number.

It is an amenable number.

4201444420401 is a deficient number, since it is larger than the sum of its proper divisors (1413418948399).

4201444420401 is a wasteful number, since it uses less digits than its factorization.

4201444420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234368735.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 4201444420401 its reverse (1040244441024), we get a palindrome (5241688861425).

The spelling of 4201444420401 in words is "four trillion, two hundred one billion, four hundred forty-four million, four hundred twenty thousand, four hundred one".