418830685385112 has 1024 divisors, whose sum is σ = 1588247145676800. Its totient is φ = 98737470720000.

The previous prime is 418830685385107. The next prime is 418830685385137. The reversal of 418830685385112 is 211583586038814.

It is a happy number.

418830685385112 is a `hidden beast` number, since 4 + 1 + 8 + 8 + 3 + 0 + 6 + 85 + 38 + 511 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 418830685385112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 66618524833 + ... + 66618531119.

It is an arithmetic number, because the mean of its divisors is an integer number (1551022603200).

Almost surely, 2^{418830685385112} is an apocalyptic number.

418830685385112 is a gapful number since it is divisible by the number (42) 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 418830685385112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794123572838400).

418830685385112 is an abundant number, since it is smaller than the sum of its proper divisors (1169416460291688).

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

418830685385112 is a wasteful number, since it uses less digits than its factorization.

418830685385112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445 (or 11435 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 418830685385112 in words is "four hundred eighteen trillion, eight hundred thirty billion, six hundred eighty-five million, three hundred eighty-five thousand, one hundred twelve".