1331330034040 has 64 divisors (see below), whose sum is σ = 3038440973760. Its totient is φ = 524900490240.

The previous prime is 1331330034037. The next prime is 1331330034053. The reversal of 1331330034040 is 404300331331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1331330033996 and 1331330034014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11738082 + ... + 11850958.

It is an arithmetic number, because the mean of its divisors is an integer number (47475640215).

Almost surely, 2^{1331330034040} is an apocalyptic number.

1331330034040 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 1331330034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519220486880).

1331330034040 is an abundant number, since it is smaller than the sum of its proper divisors (1707110939720).

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

1331330034040 is a wasteful number, since it uses less digits than its factorization.

1331330034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117112 (or 117108 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 1331330034040 its reverse (404300331331), we get a palindrome (1735630365371).

The spelling of 1331330034040 in words is "one trillion, three hundred thirty-one billion, three hundred thirty million, thirty-four thousand, forty".