1330042032 has 240 divisors, whose sum is σ = 4260477312. Its totient is φ = 398338560.

The previous prime is 1330042031. The next prime is 1330042037. The reversal of 1330042032 is 2302400331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1330041996 and 1330042014.

It is not an unprimeable number, because it can be changed into a prime (1330042031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5859103 + ... + 5859329.

Almost surely, 2^1330042032 is an apocalyptic number.

1330042032 is a gapful number since it is divisible by the number (12) 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 1330042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130238656).

1330042032 is an abundant number, since it is smaller than the sum of its proper divisors (2930435280).

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

1330042032 is a wasteful number, since it uses less digits than its factorization.

1330042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1330042032 is about 36469.7413207168. The cubic root of 1330042032 is about 1099.7360336309.

Adding to 1330042032 its reverse (2302400331), we get a palindrome (3632442363).

The spelling of 1330042032 in words is "one billion, three hundred thirty million, forty-two thousand, thirty-two".