1331816872000 has 112 divisors (see below), whose sum is σ = 3299236490160. Its totient is φ = 532566528000.

The previous prime is 1331816871991. The next prime is 1331816872003. The reversal of 1331816872000 is 2786181331.

It can be written as a sum of positive squares in 8 ways, for example, as 230307849216 + 1101509022784 = 479904^2 + 1049528^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1331816872003) 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 15 ways as a sum of consecutive naturals, for example, 28624756 + ... + 28671244.

Almost surely, 2^{1331816872000} is an apocalyptic number.

1331816872000 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 1331816872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649618245080).

1331816872000 is an abundant number, since it is smaller than the sum of its proper divisors (1967419618160).

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

1331816872000 is an equidigital number, since it uses as much as digits as its factorization.

1331816872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50097 (or 50077 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 1331816872000 in words is "one trillion, three hundred thirty-one billion, eight hundred sixteen million, eight hundred seventy-two thousand".