1444007768 has 64 divisors (see below), whose sum is σ = 3175096320. Its totient is φ = 602784000.

The previous prime is 1444007767. The next prime is 1444007791. The reversal of 1444007768 is 8677004441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444007767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253993 + ... + 1255143.

It is an arithmetic number, because the mean of its divisors is an integer number (49610880).

Almost surely, 2^1444007768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444007768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587548160).

1444007768 is an abundant number, since it is smaller than the sum of its proper divisors (1731088552).

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

1444007768 is a wasteful number, since it uses less digits than its factorization.

1444007768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 1444007768 is about 38000.1022103889. The cubic root of 1444007768 is about 1130.2898903835.

The spelling of 1444007768 in words is "one billion, four hundred forty-four million, seven thousand, seven hundred sixty-eight".