4199008000 has 288 divisors, whose sum is σ = 11632158720. Its totient is φ = 1497600000.

The previous prime is 4199007983. The next prime is 4199008013. The reversal of 4199008000 is 8009914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27807925 + ... + 27808075.

It is an arithmetic number, because the mean of its divisors is an integer number (40389440).

Almost surely, 2^4199008000 is an apocalyptic number.

4199008000 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 4199008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816079360).

4199008000 is an abundant number, since it is smaller than the sum of its proper divisors (7433150720).

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

4199008000 is a wasteful number, since it uses less digits than its factorization.

4199008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 4199008000 is about 64799.7530859493. The cubic root of 4199008000 is about 1613.3016105291.

The spelling of 4199008000 in words is "four billion, one hundred ninety-nine million, eight thousand".