318341340000 has 1200 divisors, whose sum is σ = 1237960075968. Its totient is φ = 80123904000.

The previous prime is 318341339993. The next prime is 318341340001. The reversal of 318341340000 is 43143813.

318341340000 is a `hidden beast` number, since 318 + 3 + 4 + 1 + 340 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318341340001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2817179944 + ... + 2817180056.

Almost surely, 2^318341340000 is an apocalyptic number.

318341340000 is a gapful number since it is divisible by the number (30) 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 318341340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618980037984).

318341340000 is an abundant number, since it is smaller than the sum of its proper divisors (919618735968).

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

318341340000 is a wasteful number, since it uses less digits than its factorization.

318341340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 318341340000 its reverse (43143813), we get a palindrome (318384483813).

The spelling of 318341340000 in words is "three hundred eighteen billion, three hundred forty-one million, three hundred forty thousand".