4213406106 has 256 divisors, whose sum is σ = 12603064320. Its totient is φ = 1011502080.

The previous prime is 4213406101. The next prime is 4213406111. The reversal of 4213406106 is 6016043124.

4213406106 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 40 + 610 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4213406101) and next prime (4213406111).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4213406106.

It is not an unprimeable number, because it can be changed into a prime (4213406101) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2588865 + ... + 2590491.

It is an arithmetic number, because the mean of its divisors is an integer number (49230720).

Almost surely, 2^4213406106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213406106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301532160).

4213406106 is an abundant number, since it is smaller than the sum of its proper divisors (8389658214).

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

4213406106 is a wasteful number, since it uses less digits than its factorization.

4213406106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4213406106 is about 64910.7549332158. The cubic root of 4213406106 is about 1615.1434732132.

The spelling of 4213406106 in words is "four billion, two hundred thirteen million, four hundred six thousand, one hundred six".