4106930688 has 600 divisors, whose sum is σ = 14901492672. Its totient is φ = 1121734656.

The previous prime is 4106930609. The next prime is 4106930701. The reversal of 4106930688 is 8860396014.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 87381481 + ... + 87381527.

Almost surely, 2^4106930688 is an apocalyptic number.

4106930688 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 4106930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7450746336).

4106930688 is an abundant number, since it is smaller than the sum of its proper divisors (10794561984).

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

4106930688 is an equidigital number, since it uses as much as digits as its factorization.

4106930688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4106930688 is about 64085.3391034174. The cubic root of 4106930688 is about 1601.4220024853.

The spelling of 4106930688 in words is "four billion, one hundred six million, nine hundred thirty thousand, six hundred eighty-eight".