1314233041520 has 240 divisors, whose sum is σ = 3812147569440. Its totient is φ = 418823129088.

The previous prime is 1314233041519. The next prime is 1314233041543. The reversal of 1314233041520 is 251403324131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3780974 + ... + 4113906.

It is an arithmetic number, because the mean of its divisors is an integer number (15883948206).

Almost surely, 2^{1314233041520} is an apocalyptic number.

1314233041520 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 1314233041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906073784720).

1314233041520 is an abundant number, since it is smaller than the sum of its proper divisors (2497914527920).

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

1314233041520 is a wasteful number, since it uses less digits than its factorization.

1314233041520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333032 (or 333019 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 1314233041520 its reverse (251403324131), we get a palindrome (1565636365651).

The spelling of 1314233041520 in words is "one trillion, three hundred fourteen billion, two hundred thirty-three million, forty-one thousand, five hundred twenty".