444201120241320 has 64 divisors (see below), whose sum is σ = 1435111311553920. Its totient is φ = 109341814212864.

The previous prime is 444201120241297. The next prime is 444201120241321. The reversal of 444201120241320 is 23142021102444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (444201120241321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142372152364 + ... + 142372155483.

It is an arithmetic number, because the mean of its divisors is an integer number (22423614243030).

Almost surely, 2^{444201120241320} is an apocalyptic number.

444201120241320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444201120241320 is an abundant number, since it is smaller than the sum of its proper divisors (990910191312600).

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

444201120241320 is a wasteful number, since it uses less digits than its factorization.

444201120241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284744307874 (or 284744307870 counting only the distinct ones).

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

Adding to 444201120241320 its reverse (23142021102444), we get a palindrome (467343141343764).

The spelling of 444201120241320 in words is "four hundred forty-four trillion, two hundred one billion, one hundred twenty million, two hundred forty-one thousand, three hundred twenty".