1330441112000 has 896 divisors, whose sum is σ = 4469556768768. Its totient is φ = 378832896000.

The previous prime is 1330441111957. The next prime is 1330441112009. The reversal of 1330441112000 is 2111440331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330441112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 824823194 + ... + 824824806.

It is an arithmetic number, because the mean of its divisors is an integer number (4988344608).

Almost surely, 2^{1330441112000} is an apocalyptic number.

1330441112000 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 1330441112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234778384384).

1330441112000 is an abundant number, since it is smaller than the sum of its proper divisors (3139115656768).

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

1330441112000 is a wasteful number, since it uses less digits than its factorization.

1330441112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1330441112000 its reverse (2111440331), we get a palindrome (1332552552331).

It can be divided in two parts, 1330441 and 112000, that added together give a palindrome (1442441).

The spelling of 1330441112000 in words is "one trillion, three hundred thirty billion, four hundred forty-one million, one hundred twelve thousand".