1330304040 has 256 divisors, whose sum is σ = 4894041600. Its totient is φ = 319334400.

The previous prime is 1330304021. The next prime is 1330304071. The reversal of 1330304040 is 404030331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574485 + ... + 576795.

It is an arithmetic number, because the mean of its divisors is an integer number (19117350).

Almost surely, 2^1330304040 is an apocalyptic number.

1330304040 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 1330304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447020800).

1330304040 is an abundant number, since it is smaller than the sum of its proper divisors (3563737560).

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

1330304040 is a wasteful number, since it uses less digits than its factorization.

1330304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2375 counting only the distinct ones).

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

The square root of 1330304040 is about 36473.3332724060. Note that the first 3 decimals coincide. The cubic root of 1330304040 is about 1099.8082420558.

Adding to 1330304040 its reverse (404030331), we get a palindrome (1734334371).

The spelling of 1330304040 in words is "one billion, three hundred thirty million, three hundred four thousand, forty".