4100214420 has 36 divisors (see below), whose sum is σ = 12437317620. Its totient is φ = 1093390464.

The previous prime is 4100214401. The next prime is 4100214463. The reversal of 4100214420 is 244120014.

4100214420 is a `hidden beast` number, since 410 + 0 + 214 + 42 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2224631556 + 1875582864 = 47166^2 + 43308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4100214393 and 4100214402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11389305 + ... + 11389664.

It is an arithmetic number, because the mean of its divisors is an integer number (345481045).

Almost surely, 2^4100214420 is an apocalyptic number.

It is an amenable number.

4100214420 is an abundant number, since it is smaller than the sum of its proper divisors (8337103200).

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

4100214420 is a wasteful number, since it uses less digits than its factorization.

4100214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22778984 (or 22778979 counting only the distinct ones).

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

The square root of 4100214420 is about 64032.9166913393. The cubic root of 4100214420 is about 1600.5485645058.

Adding to 4100214420 its reverse (244120014), we get a palindrome (4344334434).

The spelling of 4100214420 in words is "four billion, one hundred million, two hundred fourteen thousand, four hundred twenty".