4106821968 has 180 divisors, whose sum is σ = 12101412960. Its totient is φ = 1299738240.

The previous prime is 4106821967. The next prime is 4106821991. The reversal of 4106821968 is 8691286014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106821967) 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 35 ways as a sum of consecutive naturals, for example, 8164405 + ... + 8164907.

It is an arithmetic number, because the mean of its divisors is an integer number (67230072).

Almost surely, 2^4106821968 is an apocalyptic number.

4106821968 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 4106821968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050706480).

4106821968 is an abundant number, since it is smaller than the sum of its proper divisors (7994590992).

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

4106821968 is a wasteful number, since it uses less digits than its factorization.

4106821968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4106821968 is about 64084.4908538720. The cubic root of 4106821968 is about 1601.4078712399.

It can be divided in two parts, 41068 and 21968, that added together give a palindrome (63036).

The spelling of 4106821968 in words is "four billion, one hundred six million, eight hundred twenty-one thousand, nine hundred sixty-eight".