1331031440004 has 96 divisors (see below), whose sum is σ = 3739289057280. Its totient is φ = 359984072448.

The previous prime is 1331031439993. The next prime is 1331031440033. The reversal of 1331031440004 is 4000441301331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1610952 + ... + 2292864.

It is an arithmetic number, because the mean of its divisors is an integer number (38950927680).

Almost surely, 2^{1331031440004} is an apocalyptic number.

1331031440004 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 1331031440004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869644528640).

1331031440004 is an abundant number, since it is smaller than the sum of its proper divisors (2408257617276).

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

1331031440004 is a wasteful number, since it uses less digits than its factorization.

1331031440004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683169 (or 683167 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1331031440004 its reverse (4000441301331), we get a palindrome (5331472741335).

The spelling of 1331031440004 in words is "one trillion, three hundred thirty-one billion, thirty-one million, four hundred forty thousand, four".