1320141314240 has 224 divisors, whose sum is σ = 3693653841024. Its totient is φ = 439977738240.

The previous prime is 1320141314231. The next prime is 1320141314263. The reversal of 1320141314240 is 424131410231.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25413734 + ... + 25465626.

It is an arithmetic number, because the mean of its divisors is an integer number (16489526076).

Almost surely, 2^{1320141314240} is an apocalyptic number.

1320141314240 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 1320141314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846826920512).

1320141314240 is an abundant number, since it is smaller than the sum of its proper divisors (2373512526784).

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

1320141314240 is a wasteful number, since it uses less digits than its factorization.

1320141314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52235 (or 52225 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1320141314240 its reverse (424131410231), we get a palindrome (1744272724471).

The spelling of 1320141314240 in words is "one trillion, three hundred twenty billion, one hundred forty-one million, three hundred fourteen thousand, two hundred forty".