1304115040 has 48 divisors (see below), whose sum is σ = 3095653680. Its totient is φ = 519160320.

The previous prime is 1304115031. The next prime is 1304115041. The reversal of 1304115040 is 405114031.

It is a junction number, because it is equal to n+sod(n) for n = 1304114999 and 1304115017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304115041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14446 + ... + 53074.

It is an arithmetic number, because the mean of its divisors is an integer number (64492785).

Almost surely, 2^1304115040 is an apocalyptic number.

1304115040 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 1304115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547826840).

1304115040 is an abundant number, since it is smaller than the sum of its proper divisors (1791538640).

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

1304115040 is a wasteful number, since it uses less digits than its factorization.

1304115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38855 (or 38847 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1304115040 is about 36112.5330044847. The cubic root of 1304115040 is about 1092.5432407345.

Adding to 1304115040 its reverse (405114031), we get a palindrome (1709229071).

The spelling of 1304115040 in words is "one billion, three hundred four million, one hundred fifteen thousand, forty".