4117942286208 has 96 divisors (see below), whose sum is σ = 11854184665440. Its totient is φ = 1372140435456.

The previous prime is 4117942286177. The next prime is 4117942286221. The reversal of 4117942286208 is 8026822497114.

4117942286208 is a `hidden beast` number, since 4 + 1 + 1 + 7 + 9 + 4 + 2 + 2 + 8 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 2466585 + ... + 3784167.

It is an arithmetic number, because the mean of its divisors is an integer number (123481090265).

Almost surely, 2^{4117942286208} is an apocalyptic number.

4117942286208 is a gapful number since it is divisible by the number (48) 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 4117942286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927092332720).

4117942286208 is an abundant number, since it is smaller than the sum of its proper divisors (7736242379232).

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

4117942286208 is a wasteful number, since it uses less digits than its factorization.

4117942286208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320316 (or 1320301 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4117942286208 in words is "four trillion, one hundred seventeen billion, nine hundred forty-two million, two hundred eighty-six thousand, two hundred eight".