318540084665040 has 3200 divisors, whose sum is σ = 1417700141383680. Its totient is φ = 64582247448576.

The previous prime is 318540084665029. The next prime is 318540084665053. The reversal of 318540084665040 is 40566480045813.

318540084665040 is a `hidden beast` number, since 3 + 1 + 8 + 54 + 0 + 0 + 84 + 6 + 6 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 387047490069 + ... + 387047490891.

Almost surely, 2^{318540084665040} is an apocalyptic number.

318540084665040 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 318540084665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708850070691840).

318540084665040 is an abundant number, since it is smaller than the sum of its proper divisors (1099160056718640).

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

318540084665040 is a wasteful number, since it uses less digits than its factorization.

318540084665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 318540084665040 in words is "three hundred eighteen trillion, five hundred forty billion, eighty-four million, six hundred sixty-five thousand, forty".