1444364733312 has 288 divisors, whose sum is σ = 4328947434240. Its totient is φ = 462210416640.

The previous prime is 1444364733299. The next prime is 1444364733319. The reversal of 1444364733312 is 2133374634441.

1444364733312 is a `hidden beast` number, since 144 + 4 + 3 + 6 + 473 + 3 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444364733319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140593008 + ... + 140603280.

It is an arithmetic number, because the mean of its divisors is an integer number (15031067480).

Almost surely, 2^{1444364733312} is an apocalyptic number.

1444364733312 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 1444364733312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164473717120).

1444364733312 is an abundant number, since it is smaller than the sum of its proper divisors (2884582700928).

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

1444364733312 is a wasteful number, since it uses less digits than its factorization.

1444364733312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10482 (or 10436 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The spelling of 1444364733312 in words is "one trillion, four hundred forty-four billion, three hundred sixty-four million, seven hundred thirty-three thousand, three hundred twelve".