1444033968 has 160 divisors (see below), whose sum is σ = 4158900480. Its totient is φ = 428958720.

The previous prime is 1444033967. The next prime is 1444033979. The reversal of 1444033968 is 8693304441.

It is not an unprimeable number, because it can be changed into a prime (1444033961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2245455 + ... + 2246097.

It is an arithmetic number, because the mean of its divisors is an integer number (25993128).

Almost surely, 2^1444033968 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 1444033968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079450240).

1444033968 is an abundant number, since it is smaller than the sum of its proper divisors (2714866512).

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

1444033968 is a wasteful number, since it uses less digits than its factorization.

1444033968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 1444033968 is about 38000.4469447400. The cubic root of 1444033968 is about 1130.2967263154.

The spelling of 1444033968 in words is "one billion, four hundred forty-four million, thirty-three thousand, nine hundred sixty-eight".