4106789856 has 192 divisors, whose sum is σ = 13005619200. Its totient is φ = 1253242368.

The previous prime is 4106789837. The next prime is 4106789873. The reversal of 4106789856 is 6589876014.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425025 + ... + 1427903.

It is an arithmetic number, because the mean of its divisors is an integer number (67737600).

Almost surely, 2^4106789856 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 4106789856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502809600).

4106789856 is an abundant number, since it is smaller than the sum of its proper divisors (8898829344).

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

4106789856 is a wasteful number, since it uses less digits than its factorization.

4106789856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4106789856 is about 64084.2403091431. The cubic root of 4106789856 is about 1601.4036973277.

The spelling of 4106789856 in words is "four billion, one hundred six million, seven hundred eighty-nine thousand, eight hundred fifty-six".