4197055200 has 576 divisors, whose sum is σ = 16040348352. Its totient is φ = 943718400.

The previous prime is 4197055139. The next prime is 4197055229. The reversal of 4197055200 is 25507914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21746304 + ... + 21746496.

It is an arithmetic number, because the mean of its divisors is an integer number (27847827).

Almost surely, 2^4197055200 is an apocalyptic number.

4197055200 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 4197055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020174176).

4197055200 is an abundant number, since it is smaller than the sum of its proper divisors (11843293152).

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

4197055200 is a wasteful number, since it uses less digits than its factorization.

4197055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 4197055200 is about 64784.6833750077. The cubic root of 4197055200 is about 1613.0514765374.

The spelling of 4197055200 in words is "four billion, one hundred ninety-seven million, fifty-five thousand, two hundred".