1305411040 has 72 divisors (see below), whose sum is σ = 3113179272. Its totient is φ = 517271040.

The previous prime is 1305411031. The next prime is 1305411047. The reversal of 1305411040 is 401145031.

It is a junction number, because it is equal to n+sod(n) for n = 1305410999 and 1305411017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305411047) 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 11 ways as a sum of consecutive naturals, for example, 3943675 + ... + 3944005.

It is an arithmetic number, because the mean of its divisors is an integer number (43238601).

Almost surely, 2^1305411040 is an apocalyptic number.

1305411040 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 1305411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556589636).

1305411040 is an abundant number, since it is smaller than the sum of its proper divisors (1807768232).

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

1305411040 is an equidigital number, since it uses as much as digits as its factorization.

1305411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 495 counting only the distinct ones).

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

The square root of 1305411040 is about 36130.4724574700. The cubic root of 1305411040 is about 1092.9050358251.

Adding to 1305411040 its reverse (401145031), we get a palindrome (1706556071).

The spelling of 1305411040 in words is "one billion, three hundred five million, four hundred eleven thousand, forty".