1320412340 has 96 divisors (see below), whose sum is σ = 3173294880. Its totient is φ = 457906176.

The previous prime is 1320412337. The next prime is 1320412343. The reversal of 1320412340 is 432140231.

It is an interprime number because it is at equal distance from previous prime (1320412337) and next prime (1320412343).

It can be written as a sum of positive squares in 16 ways, for example, as 414041104 + 906371236 = 20348^2 + 30106^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320412343) 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 31 ways as a sum of consecutive naturals, for example, 276614 + ... + 281346.

It is an arithmetic number, because the mean of its divisors is an integer number (33055155).

Almost surely, 2^1320412340 is an apocalyptic number.

1320412340 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 1320412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586647440).

1320412340 is an abundant number, since it is smaller than the sum of its proper divisors (1852882540).

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

1320412340 is a wasteful number, since it uses less digits than its factorization.

1320412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1320412340 is about 36337.4784485660. The cubic root of 1320412340 is about 1097.0755210765.

Adding to 1320412340 its reverse (432140231), we get a palindrome (1752552571).

The spelling of 1320412340 in words is "one billion, three hundred twenty million, four hundred twelve thousand, three hundred forty".