1320434450240 has 112 divisors (see below), whose sum is σ = 3331854948672. Its totient is φ = 496714653696.

The previous prime is 1320434450233. The next prime is 1320434450281. The reversal of 1320434450240 is 420544340231.

It is a super-2 number, since 2×1320434450240² (a number of 25 digits) contains 22 as substring.

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 = 1320434450197 and 1320434450206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6884927 + ... + 7074113.

Almost surely, 2^{1320434450240} is an apocalyptic number.

1320434450240 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 1320434450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665927474336).

1320434450240 is an abundant number, since it is smaller than the sum of its proper divisors (2011420498432).

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

1320434450240 is a wasteful number, since it uses less digits than its factorization.

1320434450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190504 (or 190494 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 1320434450240 its reverse (420544340231), we get a palindrome (1740978790471).

The spelling of 1320434450240 in words is "one trillion, three hundred twenty billion, four hundred thirty-four million, four hundred fifty thousand, two hundred forty".