4200144444405 has 96 divisors (see below), whose sum is σ = 9129371037696. Its totient is φ = 1738927636992.

The previous prime is 4200144444401. The next prime is 4200144444407. The reversal of 4200144444405 is 5044444410024.

4200144444405 is a `hidden beast` number, since 4 + 200 + 1 + 4 + 4 + 4 + 4 + 440 + 5 = 666.

It is not a de Polignac number, because 4200144444405 - 2² = 4200144444401 is a prime.

It is a super-2 number, since 2×4200144444405² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4200144444405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200144444401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9459157 + ... + 9893226.

It is an arithmetic number, because the mean of its divisors is an integer number (95097614976).

Almost surely, 2^{4200144444405} is an apocalyptic number.

4200144444405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4200144444405 is an abundant number, since it is smaller than the sum of its proper divisors (4929226593291).

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

4200144444405 is a wasteful number, since it uses less digits than its factorization.

4200144444405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19352467 (or 19352464 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 36.

Adding to 4200144444405 its reverse (5044444410024), we get a palindrome (9244588854429).

The spelling of 4200144444405 in words is "four trillion, two hundred billion, one hundred forty-four million, four hundred forty-four thousand, four hundred five".