1444385280 has 640 divisors, whose sum is σ = 5642638848. Its totient is φ = 311427072.

The previous prime is 1444385221. The next prime is 1444385287. The reversal of 1444385280 is 825834441.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444385287) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 39037422 + ... + 39037458.

Almost surely, 2^1444385280 is an apocalyptic number.

1444385280 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 1444385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821319424).

1444385280 is an abundant number, since it is smaller than the sum of its proper divisors (4198253568).

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

1444385280 is a wasteful number, since it uses less digits than its factorization.

1444385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 1444385280 is about 38005.0691355772. The cubic root of 1444385280 is about 1130.3883803472.

The spelling of 1444385280 in words is "one billion, four hundred forty-four million, three hundred eighty-five thousand, two hundred eighty".