1444680672 has 96 divisors (see below), whose sum is σ = 4024538784. Its totient is φ = 452198400.

The previous prime is 1444680619. The next prime is 1444680683. The reversal of 1444680672 is 2760864441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1045422 + ... + 1046802.

It is an arithmetic number, because the mean of its divisors is an integer number (41922279).

Almost surely, 2^1444680672 is an apocalyptic number.

1444680672 is a gapful number since it is divisible by the number (12) 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 1444680672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012269392).

1444680672 is an abundant number, since it is smaller than the sum of its proper divisors (2579858112).

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

1444680672 is a wasteful number, since it uses less digits than its factorization.

1444680672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 1444680672 is about 38008.9551553315. The cubic root of 1444680672 is about 1130.4654338706.

The spelling of 1444680672 in words is "one billion, four hundred forty-four million, six hundred eighty thousand, six hundred seventy-two".