1330034034340 has 192 divisors, whose sum is σ = 3140660210688. Its totient is φ = 469013875200.

The previous prime is 1330034034323. The next prime is 1330034034349. The reversal of 1330034034340 is 434304300331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1330034034299 and 1330034034308.

It is not an unprimeable number, because it can be changed into a prime (1330034034349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 712390087 + ... + 712391953.

It is an arithmetic number, because the mean of its divisors is an integer number (16357605264).

Almost surely, 2^{1330034034340} is an apocalyptic number.

1330034034340 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 1330034034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570330105344).

1330034034340 is an abundant number, since it is smaller than the sum of its proper divisors (1810626176348).

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

1330034034340 is a wasteful number, since it uses less digits than its factorization.

1330034034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 1330034034340 its reverse (434304300331), we get a palindrome (1764338334671).

The spelling of 1330034034340 in words is "one trillion, three hundred thirty billion, thirty-four million, thirty-four thousand, three hundred forty".