444032051120 has 160 divisors (see below), whose sum is σ = 1188805161600. Its totient is φ = 151086735360.

The previous prime is 444032051077. The next prime is 444032051129. The reversal of 444032051120 is 21150230444.

It is a self number, because there is not a number n which added to its sum of digits gives 444032051120.

It is not an unprimeable number, because it can be changed into a prime (444032051129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190325474 + ... + 190327806.

It is an arithmetic number, because the mean of its divisors is an integer number (7430032260).

Almost surely, 2^444032051120 is an apocalyptic number.

444032051120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444032051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594402580800).

444032051120 is an abundant number, since it is smaller than the sum of its proper divisors (744773110480).

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

444032051120 is a wasteful number, since it uses less digits than its factorization.

444032051120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 444032051120 its reverse (21150230444), we get a palindrome (465182281564).

The spelling of 444032051120 in words is "four hundred forty-four billion, thirty-two million, fifty-one thousand, one hundred twenty".