4106826607104 has 640 divisors, whose sum is σ = 13885841249280. Its totient is φ = 1187237855232.

The previous prime is 4106826607027. The next prime is 4106826607123. The reversal of 4106826607104 is 4017066286014.

4106826607104 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 8 + 26 + 607 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4106826607104.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3094819689 + ... + 3094821015.

It is an arithmetic number, because the mean of its divisors is an integer number (21696626952).

Almost surely, 2^{4106826607104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106826607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942920624640).

4106826607104 is an abundant number, since it is smaller than the sum of its proper divisors (9779014642176).

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

4106826607104 is a wasteful number, since it uses less digits than its factorization.

4106826607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4106826607104 in words is "four trillion, one hundred six billion, eight hundred twenty-six million, six hundred seven thousand, one hundred four".