418112128 has 64 divisors (see below), whose sum is σ = 982725120. Its totient is φ = 173399040.

The previous prime is 418112083. The next prime is 418112131. The reversal of 418112128 is 821211814.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 418112096 and 418112105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20250 + ... + 35302.

It is an arithmetic number, because the mean of its divisors is an integer number (15355080).

Almost surely, 2^418112128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491362560).

418112128 is an abundant number, since it is smaller than the sum of its proper divisors (564612992).

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

418112128 is a wasteful number, since it uses less digits than its factorization.

418112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15105 (or 15093 counting only the distinct ones).

The product of its digits is 1024, while the sum is 28.

The square root of 418112128 is about 20447.7902962643. The cubic root of 418112128 is about 747.7634872361.

The spelling of 418112128 in words is "four hundred eighteen million, one hundred twelve thousand, one hundred twenty-eight".