1413320320 has 128 divisors (see below), whose sum is σ = 3608841600. Its totient is φ = 527708160.

The previous prime is 1413320309. The next prime is 1413320329. The reversal of 1413320320 is 230233141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1413320329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 862542 + ... + 864178.

It is an arithmetic number, because the mean of its divisors is an integer number (28194075).

Almost surely, 2^1413320320 is an apocalyptic number.

1413320320 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 1413320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804420800).

1413320320 is an abundant number, since it is smaller than the sum of its proper divisors (2195521280).

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

1413320320 is a wasteful number, since it uses less digits than its factorization.

1413320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1413320320 is about 37594.1527368286. The cubic root of 1413320320 is about 1122.2256762230.

Adding to 1413320320 its reverse (230233141), we get a palindrome (1643553461).

It can be divided in two parts, 14133 and 20320, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 1413320320 in words is "one billion, four hundred thirteen million, three hundred twenty thousand, three hundred twenty".