1120441465728 has 1280 divisors, whose sum is σ = 3941225164800. Its totient is φ = 313130188800.

The previous prime is 1120441465727. The next prime is 1120441465733. The reversal of 1120441465728 is 8275641440211.

1120441465728 is a `hidden beast` number, since 1 + 1 + 20 + 44 + 14 + 6 + 572 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120441465727) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8552988223 + ... + 8552988353.

It is an arithmetic number, because the mean of its divisors is an integer number (3079082160).

Almost surely, 2^{1120441465728} is an apocalyptic number.

1120441465728 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 1120441465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970612582400).

1120441465728 is an abundant number, since it is smaller than the sum of its proper divisors (2820783699072).

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

1120441465728 is a wasteful number, since it uses less digits than its factorization.

1120441465728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1120441465728 in words is "one trillion, one hundred twenty billion, four hundred forty-one million, four hundred sixty-five thousand, seven hundred twenty-eight".