418066128 has 120 divisors (see below), whose sum is σ = 1204589568. Its totient is φ = 135288576.

The previous prime is 418066097. The next prime is 418066151. The reversal of 418066128 is 821660814.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 418066092 and 418066101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1509126 + ... + 1509402.

Almost surely, 2^418066128 is an apocalyptic number.

418066128 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 418066128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602294784).

418066128 is an abundant number, since it is smaller than the sum of its proper divisors (786523440).

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

418066128 is a wasteful number, since it uses less digits than its factorization.

418066128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 418066128 is about 20446.6654494076. The cubic root of 418066128 is about 747.7360636659.

The spelling of 418066128 in words is "four hundred eighteen million, sixty-six thousand, one hundred twenty-eight".