444104020141320 has 128 divisors (see below), whose sum is σ = 1661064387056640. Its totient is φ = 92281354832640.

The previous prime is 444104020141307. The next prime is 444104020141351. The reversal of 444104020141320 is 23141020401444.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24031593582 + ... + 24031612061.

It is an arithmetic number, because the mean of its divisors is an integer number (12977065523880).

Almost surely, 2^{444104020141320} is an apocalyptic number.

444104020141320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444104020141320 is an abundant number, since it is smaller than the sum of its proper divisors (1216960366915320).

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

444104020141320 is a wasteful number, since it uses less digits than its factorization.

444104020141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48063205675 (or 48063205671 counting only the distinct ones).

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

Adding to 444104020141320 its reverse (23141020401444), we get a palindrome (467245040542764).

The spelling of 444104020141320 in words is "four hundred forty-four trillion, one hundred four billion, twenty million, one hundred forty-one thousand, three hundred twenty".