4106968320 has 864 divisors, whose sum is σ = 17381129472. Its totient is φ = 817496064.

The previous prime is 4106968301. The next prime is 4106968331. The reversal of 4106968320 is 238696014.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56259804 + ... + 56259876.

It is an arithmetic number, because the mean of its divisors is an integer number (20117048).

Almost surely, 2^4106968320 is an apocalyptic number.

4106968320 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 4106968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690564736).

4106968320 is an abundant number, since it is smaller than the sum of its proper divisors (13274161152).

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

4106968320 is a wasteful number, since it uses less digits than its factorization.

4106968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 4106968320 is about 64085.6327112404. The cubic root of 4106968320 is about 1601.4268937722.

The spelling of 4106968320 in words is "four billion, one hundred six million, nine hundred sixty-eight thousand, three hundred twenty".