1444116330 has 64 divisors (see below), whose sum is σ = 3855876480. Its totient is φ = 384607872.

The previous prime is 1444116329. The next prime is 1444116361. The reversal of 1444116330 is 336114441.

1444116330 is a `hidden beast` number, since 14 + 4 + 4 + 11 + 633 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1444116294 and 1444116303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241942 + ... + 247838.

It is an arithmetic number, because the mean of its divisors is an integer number (60248070).

Almost surely, 2^1444116330 is an apocalyptic number.

1444116330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1444116330 is an abundant number, since it is smaller than the sum of its proper divisors (2411760150).

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

1444116330 is a wasteful number, since it uses less digits than its factorization.

1444116330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1444116330 is about 38001.5306270682. The cubic root of 1444116330 is about 1130.3182151287.

The spelling of 1444116330 in words is "one billion, four hundred forty-four million, one hundred sixteen thousand, three hundred thirty".