421118128 has 40 divisors (see below), whose sum is σ = 867774320. Its totient is φ = 197406720.

The previous prime is 421118099. The next prime is 421118149. The reversal of 421118128 is 821811124.

It is a super-3 number, since 3×421118128³ (a number of 27 digits) contains 333 as substring.

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 = 421118096 and 421118105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22348 + ... + 36628.

It is an arithmetic number, because the mean of its divisors is an integer number (21694358).

Almost surely, 2^421118128 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 421118128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433887160).

421118128 is an abundant number, since it is smaller than the sum of its proper divisors (446656192).

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

421118128 is a wasteful number, since it uses less digits than its factorization.

421118128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14405 (or 14399 counting only the distinct ones).

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

The square root of 421118128 is about 20521.1629300096. The cubic root of 421118128 is about 749.5512147686.

The spelling of 421118128 in words is "four hundred twenty-one million, one hundred eighteen thousand, one hundred twenty-eight".