418068861168 has 240 divisors, whose sum is σ = 1324059588096. Its totient is φ = 111304419840.

The previous prime is 418068861139. The next prime is 418068861169. The reversal of 418068861168 is 861168860814.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418068861169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7370805 + ... + 7427307.

Almost surely, 2^418068861168 is an apocalyptic number.

418068861168 is a gapful number since it is divisible by the number (48) 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 418068861168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662029794048).

418068861168 is an abundant number, since it is smaller than the sum of its proper divisors (905990726928).

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

418068861168 is a wasteful number, since it uses less digits than its factorization.

418068861168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56620 (or 56595 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 57.

The spelling of 418068861168 in words is "four hundred eighteen billion, sixty-eight million, eight hundred sixty-one thousand, one hundred sixty-eight".