1441105768704 has 144 divisors (see below), whose sum is σ = 4383958118400. Its totient is φ = 411688642560.

The previous prime is 1441105768699. The next prime is 1441105768733. The reversal of 1441105768704 is 4078675011441.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 55203847 + ... + 55229945.

It is an arithmetic number, because the mean of its divisors is an integer number (30444153600).

Almost surely, 2^{1441105768704} is an apocalyptic number.

1441105768704 is a gapful number since it is divisible by the number (14) 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 1441105768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191979059200).

1441105768704 is an abundant number, since it is smaller than the sum of its proper divisors (2942852349696).

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

1441105768704 is a wasteful number, since it uses less digits than its factorization.

1441105768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36396 (or 36382 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 1441105768704 in words is "one trillion, four hundred forty-one billion, one hundred five million, seven hundred sixty-eight thousand, seven hundred four".