1044768120000 has 560 divisors, whose sum is σ = 3779262748800. Its totient is φ = 252538880000.

The previous prime is 1044768119999. The next prime is 1044768120037. The reversal of 1044768120000 is 218674401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 553079056 + ... + 553080944.

It is an arithmetic number, because the mean of its divisors is an integer number (6748683480).

Almost surely, 2^{1044768120000} is an apocalyptic number.

1044768120000 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 1044768120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889631374400).

1044768120000 is an abundant number, since it is smaller than the sum of its proper divisors (2734494628800).

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

1044768120000 is a wasteful number, since it uses less digits than its factorization.

1044768120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 1044768120000 in words is "one trillion, forty-four billion, seven hundred sixty-eight million, one hundred twenty thousand".