1320334442240 has 144 divisors (see below), whose sum is σ = 3484287315936. Its totient is φ = 475367424000.

The previous prime is 1320334442233. The next prime is 1320334442267. The reversal of 1320334442240 is 422444330231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1320334442197 and 1320334442206.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 957854 + ... + 1886306.

It is an arithmetic number, because the mean of its divisors is an integer number (24196439694).

Almost surely, 2^{1320334442240} is an apocalyptic number.

1320334442240 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 1320334442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742143657968).

1320334442240 is an abundant number, since it is smaller than the sum of its proper divisors (2163952873696).

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

1320334442240 is a wasteful number, since it uses less digits than its factorization.

1320334442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928586 (or 928572 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 1320334442240 its reverse (422444330231), we get a palindrome (1742778772471).

It can be divided in two parts, 13203 and 34442240, that added together give a palindrome (34455443).

The spelling of 1320334442240 in words is "one trillion, three hundred twenty billion, three hundred thirty-four million, four hundred forty-two thousand, two hundred forty".