418966038768 has 160 divisors (see below), whose sum is σ = 1151642790144. Its totient is φ = 130794172416.

The previous prime is 418966038731. The next prime is 418966038811. The reversal of 418966038768 is 867830669814.

It is a junction number, because it is equal to n+sod(n) for n = 418966038699 and 418966038708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219698071 + ... + 219699977.

Almost surely, 2^418966038768 is an apocalyptic number.

418966038768 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 418966038768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575821395072).

418966038768 is an abundant number, since it is smaller than the sum of its proper divisors (732676751376).

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

418966038768 is a wasteful number, since it uses less digits than its factorization.

418966038768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 418966038768 in words is "four hundred eighteen billion, nine hundred sixty-six million, thirty-eight thousand, seven hundred sixty-eight".