418042128 has 60 divisors (see below), whose sum is σ = 1256266320. Its totient is φ = 119439936.

The previous prime is 418042127. The next prime is 418042133. The reversal of 418042128 is 821240814.

It is a junction number, because it is equal to n+sod(n) for n = 418042095 and 418042104.

It is not an unprimeable number, because it can be changed into a prime (418042127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86518 + ... + 91221.

It is an arithmetic number, because the mean of its divisors is an integer number (20937772).

Almost surely, 2^418042128 is an apocalyptic number.

418042128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

418042128 is an abundant number, since it is smaller than the sum of its proper divisors (838224192).

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

418042128 is a wasteful number, since it uses less digits than its factorization.

418042128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177764 (or 177751 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 418042128 is about 20446.0785482204. The cubic root of 418042128 is about 747.7217549176.

The spelling of 418042128 in words is "four hundred eighteen million, forty-two thousand, one hundred twenty-eight".