444301044342420 has 192 divisors, whose sum is σ = 1375648450122240. Its totient is φ = 106752259891200.

The previous prime is 444301044342383. The next prime is 444301044342521. The reversal of 444301044342420 is 24243440103444.

It is a happy number.

It is a super-2 number, since 2×444301044342420² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133749121 + ... + 137030760.

It is an arithmetic number, because the mean of its divisors is an integer number (7164835677720).

Almost surely, 2^{444301044342420} is an apocalyptic number.

It is an amenable number.

444301044342420 is an abundant number, since it is smaller than the sum of its proper divisors (931347405779820).

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

444301044342420 is a wasteful number, since it uses less digits than its factorization.

444301044342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270779986 (or 270779984 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 444301044342420 its reverse (24243440103444), we get a palindrome (468544484445864).

The spelling of 444301044342420 in words is "four hundred forty-four trillion, three hundred one billion, forty-four million, three hundred forty-two thousand, four hundred twenty".