1330142304 has 144 divisors (see below), whose sum is σ = 3722922000. Its totient is φ = 415328256.

The previous prime is 1330142299. The next prime is 1330142353. The reversal of 1330142304 is 4032410331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3811122 + ... + 3811470.

It is an arithmetic number, because the mean of its divisors is an integer number (25853625).

Almost surely, 2^1330142304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861461000).

1330142304 is an abundant number, since it is smaller than the sum of its proper divisors (2392779696).

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

1330142304 is a wasteful number, since it uses less digits than its factorization.

1330142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1330142304 is about 36471.1160235055. The cubic root of 1330142304 is about 1099.7636693391.

Adding to 1330142304 its reverse (4032410331), we get a palindrome (5362552635).

The spelling of 1330142304 in words is "one billion, three hundred thirty million, one hundred forty-two thousand, three hundred four".