4202444330406 has 192 divisors, whose sum is σ = 10550835988992. Its totient is φ = 1184110050816.

The previous prime is 4202444330341. The next prime is 4202444330417. The reversal of 4202444330406 is 6040334442024.

4202444330406 is a `hidden beast` number, since 4 + 2 + 0 + 244 + 4 + 3 + 3 + 0 + 406 = 666.

It is a super-2 number, since 2×4202444330406² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4633345005 + ... + 4633345911.

It is an arithmetic number, because the mean of its divisors is an integer number (54952270776).

Almost surely, 2^{4202444330406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202444330406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275417994496).

4202444330406 is an abundant number, since it is smaller than the sum of its proper divisors (6348391658586).

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

4202444330406 is a wasteful number, since it uses less digits than its factorization.

4202444330406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The spelling of 4202444330406 in words is "four trillion, two hundred two billion, four hundred forty-four million, three hundred thirty thousand, four hundred six".