4212105414 has 128 divisors (see below), whose sum is σ = 9830854656. Its totient is φ = 1190640000.

The previous prime is 4212105389. The next prime is 4212105431. The reversal of 4212105414 is 4145012124.

It is a super-2 number, since 2×4212105414² = 35483664037296222792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12725229 + ... + 12725559.

It is an arithmetic number, because the mean of its divisors is an integer number (76803552).

Almost surely, 2^4212105414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212105414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915427328).

4212105414 is an abundant number, since it is smaller than the sum of its proper divisors (5618749242).

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

4212105414 is a wasteful number, since it uses less digits than its factorization.

4212105414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 4212105414 is about 64900.7350805829. The cubic root of 4212105414 is about 1614.9772561153.

Adding to 4212105414 its reverse (4145012124), we get a palindrome (8357117538).

It can be divided in two parts, 421210 and 5414, that added together give a palindrome (426624).

The spelling of 4212105414 in words is "four billion, two hundred twelve million, one hundred five thousand, four hundred fourteen".