1444751680 has 112 divisors (see below), whose sum is σ = 3503523600. Its totient is φ = 567410688.

The previous prime is 1444751663. The next prime is 1444751699. The reversal of 1444751680 is 861574441.

It can be written as a sum of positive squares in 8 ways, for example, as 370485504 + 1074266176 = 19248^2 + 32776^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7485664 + ... + 7485856.

Almost surely, 2^1444751680 is an apocalyptic number.

1444751680 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 1444751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751761800).

1444751680 is an abundant number, since it is smaller than the sum of its proper divisors (2058771920).

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

1444751680 is a wasteful number, since it uses less digits than its factorization.

1444751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 1444751680 is about 38009.8892395124. The cubic root of 1444751680 is about 1130.4839548665.

The spelling of 1444751680 in words is "one billion, four hundred forty-four million, seven hundred fifty-one thousand, six hundred eighty".