1044714011328 has 252 divisors, whose sum is σ = 3244727140200. Its totient is φ = 321234481152.

The previous prime is 1044714011267. The next prime is 1044714011333. The reversal of 1044714011328 is 8231104174401.

1044714011328 is a `hidden beast` number, since 10 + 4 + 471 + 40 + 1 + 132 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1044714011292 and 1044714011301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204322500 + ... + 204327612.

It is an arithmetic number, because the mean of its divisors is an integer number (12875901350).

Almost surely, 2^{1044714011328} is an apocalyptic number.

1044714011328 is a gapful number since it is divisible by the number (18) 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 1044714011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622363570100).

1044714011328 is an abundant number, since it is smaller than the sum of its proper divisors (2200013128872).

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

1044714011328 is a wasteful number, since it uses less digits than its factorization.

1044714011328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 1044714011328 its reverse (8231104174401), we get a palindrome (9275818185729).

The spelling of 1044714011328 in words is "one trillion, forty-four billion, seven hundred fourteen million, eleven thousand, three hundred twenty-eight".