418132915117056 has 264 divisors, whose sum is σ = 1236132026088960. Its totient is φ = 136058676977664.

The previous prime is 418132915117051. The next prime is 418132915117067. The reversal of 418132915117056 is 650711519231814.

418132915117056 is a `hidden beast` number, since 4 + 1 + 8 + 1 + 3 + 2 + 9 + 1 + 511 + 70 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 418132915116993 and 418132915117011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418132915117051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696770671 + ... + 697370513.

It is an arithmetic number, because the mean of its divisors is an integer number (4682318280640).

It is a 1-persistent number, because it is pandigital, but 2⋅418132915117056 = 836265830234112 is not.

Almost surely, 2^{418132915117056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418132915117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618066013044480).

418132915117056 is an abundant number, since it is smaller than the sum of its proper divisors (817999110971904).

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

418132915117056 is a wasteful number, since it uses less digits than its factorization.

418132915117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601671 (or 601650 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 418132915117056 in words is "four hundred eighteen trillion, one hundred thirty-two billion, nine hundred fifteen million, one hundred seventeen thousand, fifty-six".