1314430330240 has 128 divisors (see below), whose sum is σ = 3174194304000. Its totient is φ = 520455979008.

The previous prime is 1314430330223. The next prime is 1314430330271. The reversal of 1314430330240 is 420330344131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1314430330199 and 1314430330208.

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, 36476712 + ... + 36512728.

It is an arithmetic number, because the mean of its divisors is an integer number (24798393000).

Almost surely, 2^{1314430330240} is an apocalyptic number.

1314430330240 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 1314430330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587097152000).

1314430330240 is an abundant number, since it is smaller than the sum of its proper divisors (1859763973760).

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

1314430330240 is a wasteful number, since it uses less digits than its factorization.

1314430330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36612 (or 36600 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1314430330240 its reverse (420330344131), we get a palindrome (1734760674371).

The spelling of 1314430330240 in words is "one trillion, three hundred fourteen billion, four hundred thirty million, three hundred thirty thousand, two hundred forty".