1444301120 has 112 divisors (see below), whose sum is σ = 3523366080. Its totient is φ = 563748864.

The previous prime is 1444301083. The next prime is 1444301141. The reversal of 1444301120 is 211034441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1444301092 and 1444301101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4285592 + ... + 4285928.

Almost surely, 2^1444301120 is an apocalyptic number.

1444301120 is a gapful number since it is divisible by the number (10) 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 1444301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761683040).

1444301120 is an abundant number, since it is smaller than the sum of its proper divisors (2079064960).

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

1444301120 is a wasteful number, since it uses less digits than its factorization.

1444301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1444301120 is about 38003.9618987284. The cubic root of 1444301120 is about 1130.3664251401.

Adding to 1444301120 its reverse (211034441), we get a palindrome (1655335561).

The spelling of 1444301120 in words is "one billion, four hundred forty-four million, three hundred one thousand, one hundred twenty".