1314054200340 has 216 divisors, whose sum is σ = 4641010363080. Its totient is φ = 300078245376.

The previous prime is 1314054200279. The next prime is 1314054200471. The reversal of 1314054200340 is 430024504131.

It is a happy number.

1314054200340 is a `hidden beast` number, since 1 + 31 + 40 + 54 + 200 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 200678912784 + 1113375287556 = 447972^2 + 1055166^2 .

It is a super-2 number, since 2×1314054200340² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9572106 + ... + 9708414.

Almost surely, 2^{1314054200340} is an apocalyptic number.

1314054200340 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 1314054200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320505181540).

1314054200340 is an abundant number, since it is smaller than the sum of its proper divisors (3326956162740).

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

1314054200340 is a wasteful number, since it uses less digits than its factorization.

1314054200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137431 (or 137419 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1314054200340 its reverse (430024504131), we get a palindrome (1744078704471).

The spelling of 1314054200340 in words is "one trillion, three hundred fourteen billion, fifty-four million, two hundred thousand, three hundred forty".