1314241120320 has 336 divisors, whose sum is σ = 4447612266048. Its totient is φ = 328722739200.

The previous prime is 1314241120307. The next prime is 1314241120327. The reversal of 1314241120320 is 230211424131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1314241120327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34983787 + ... + 35021333.

It is an arithmetic number, because the mean of its divisors is an integer number (13236941268).

Almost surely, 2^{1314241120320} is an apocalyptic number.

1314241120320 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 1314241120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223806133024).

1314241120320 is an abundant number, since it is smaller than the sum of its proper divisors (3133371145728).

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

1314241120320 is a wasteful number, since it uses less digits than its factorization.

1314241120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37706 (or 37677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1314241120320 its reverse (230211424131), we get a palindrome (1544452544451).

The spelling of 1314241120320 in words is "one trillion, three hundred fourteen billion, two hundred forty-one million, one hundred twenty thousand, three hundred twenty".