4196688000 has 512 divisors, whose sum is σ = 15237331200. Its totient is φ = 1017446400.

The previous prime is 4196687987. The next prime is 4196688019. The reversal of 4196688000 is 8866914.

It is a super-2 number, since 2×4196688000² = 35224380338688000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30191931 + ... + 30192069.

Almost surely, 2^4196688000 is an apocalyptic number.

4196688000 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 4196688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600).

4196688000 is an abundant number, since it is smaller than the sum of its proper divisors (11040643200).

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

4196688000 is a wasteful number, since it uses less digits than its factorization.

4196688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4196688000 is about 64781.8493098183. The cubic root of 4196688000 is about 1613.0044332535.

The spelling of 4196688000 in words is "four billion, one hundred ninety-six million, six hundred eighty-eight thousand".