1331031440000 has 160 divisors (see below), whose sum is σ = 3321293595840. Its totient is φ = 531163520000.

The previous prime is 1331031439993. The next prime is 1331031440033. The reversal of 1331031440000 is 441301331.

It is a tau number, because it is divible by the number of its divisors (160).

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

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 19 ways as a sum of consecutive naturals, for example, 34460699 + ... + 34499301.

It is an arithmetic number, because the mean of its divisors is an integer number (20758084974).

Almost surely, 2^{1331031440000} is an apocalyptic number.

1331031440000 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 1331031440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660646797920).

1331031440000 is an abundant number, since it is smaller than the sum of its proper divisors (1990262155840).

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

1331031440000 is an frugal number, since it uses more digits than its factorization.

1331031440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39068 (or 39041 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1331031440000 its reverse (441301331), we get a palindrome (1331472741331).

The spelling of 1331031440000 in words is "one trillion, three hundred thirty-one billion, thirty-one million, four hundred forty thousand".