4099888800 has 324 divisors, whose sum is σ = 16819044606. Its totient is φ = 937036800.

The previous prime is 4099888783. The next prime is 4099888841. The reversal of 4099888800 is 88889904.

It can be written as a sum of positive squares in 3 ways, for example, as 2034731664 + 2065157136 = 45108^2 + 45444^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 346990 + ... + 358610.

Almost surely, 2^4099888800 is an apocalyptic number.

4099888800 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 4099888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8409522303).

4099888800 is an abundant number, since it is smaller than the sum of its proper divisors (12719155806).

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

4099888800 is a wasteful number, since it uses less digits than its factorization.

4099888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11661 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 4099888800 is about 64030.3740423246. The cubic root of 4099888800 is about 1600.5061940045.

The spelling of 4099888800 in words is "four billion, ninety-nine million, eight hundred eighty-eight thousand, eight hundred".