4100420214 has 96 divisors (see below), whose sum is σ = 9812275200. Its totient is φ = 1227228480.

The previous prime is 4100420143. The next prime is 4100420239. The reversal of 4100420214 is 4120240014.

4100420214 is a `hidden beast` number, since 410 + 0 + 42 + 0 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10540732 + ... + 10541120.

It is an arithmetic number, because the mean of its divisors is an integer number (102211200).

Almost surely, 2^4100420214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100420214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906137600).

4100420214 is an abundant number, since it is smaller than the sum of its proper divisors (5711854986).

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

4100420214 is a wasteful number, since it uses less digits than its factorization.

4100420214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4100420214 is about 64034.5236103151. The cubic root of 4100420214 is about 1600.5753417868.

Adding to 4100420214 its reverse (4120240014), we get a palindrome (8220660228).

The spelling of 4100420214 in words is "four billion, one hundred million, four hundred twenty thousand, two hundred fourteen".