4106222776656 has 960 divisors, whose sum is σ = 16261023227904. Its totient is φ = 932304384000.

The previous prime is 4106222776639. The next prime is 4106222776673. The reversal of 4106222776656 is 6566772226014.

4106222776656 is a `hidden beast` number, since 4 + 1 + 0 + 622 + 2 + 7 + 7 + 6 + 6 + 5 + 6 = 666.

4106222776656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4106222776639) and next prime (4106222776673).

It is a super-2 number, since 2×4106222776656² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 334840381 + ... + 334852643.

Almost surely, 2^{4106222776656} is an apocalyptic number.

4106222776656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106222776656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130511613952).

4106222776656 is an abundant number, since it is smaller than the sum of its proper divisors (12154800451248).

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

4106222776656 is a wasteful number, since it uses less digits than its factorization.

4106222776656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12432 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4106222776656 in words is "four trillion, one hundred six billion, two hundred twenty-two million, seven hundred seventy-six thousand, six hundred fifty-six".