4106826880 has 128 divisors (see below), whose sum is σ = 10938337200. Its totient is φ = 1463992320.

The previous prime is 4106826859. The next prime is 4106826883. The reversal of 4106826880 is 886286014.

It can be written as a sum of positive squares in 8 ways, for example, as 2275671616 + 1831155264 = 47704^2 + 42792^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4106826883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232770 + ... + 249790.

Almost surely, 2^4106826880 is an apocalyptic number.

4106826880 is a gapful number since it is divisible by the number (40) 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 4106826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469168600).

4106826880 is an abundant number, since it is smaller than the sum of its proper divisors (6831510320).

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

4106826880 is a wasteful number, since it uses less digits than its factorization.

4106826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17082 (or 17070 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 4106826880 is about 64084.5291782658. The cubic root of 4106826880 is about 1601.4085096989.

The spelling of 4106826880 in words is "four billion, one hundred six million, eight hundred twenty-six thousand, eight hundred eighty".