4197939200 has 576 divisors, whose sum is σ = 13819740480. Its totient is φ = 1226833920.

The previous prime is 4197939197. The next prime is 4197939227. The reversal of 4197939200 is 29397914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79206374 + ... + 79206426.

It is an arithmetic number, because the mean of its divisors is an integer number (23992605).

Almost surely, 2^4197939200 is an apocalyptic number.

4197939200 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 4197939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909870240).

4197939200 is an abundant number, since it is smaller than the sum of its proper divisors (9621801280).

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

4197939200 is a wasteful number, since it uses less digits than its factorization.

4197939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 4197939200 is about 64791.5056160914. The cubic root of 4197939200 is about 1613.1647176343.

The spelling of 4197939200 in words is "four billion, one hundred ninety-seven million, nine hundred thirty-nine thousand, two hundred".