4200385176 has 288 divisors, whose sum is σ = 13380232320. Its totient is φ = 1181952000.

The previous prime is 4200385139. The next prime is 4200385199. The reversal of 4200385176 is 6715830024.

4200385176 is a `hidden beast` number, since 4 + 200 + 385 + 1 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4200385176.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 10474576 + ... + 10474976.

It is an arithmetic number, because the mean of its divisors is an integer number (46459140).

Almost surely, 2^4200385176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200385176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690116160).

4200385176 is an abundant number, since it is smaller than the sum of its proper divisors (9179847144).

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

4200385176 is a wasteful number, since it uses less digits than its factorization.

4200385176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4200385176 is about 64810.3786133054. The cubic root of 4200385176 is about 1613.4779662623.

It can be divided in two parts, 4200 and 385176, that added together give a square (389376 = 624²).

The spelling of 4200385176 in words is "four billion, two hundred million, three hundred eighty-five thousand, one hundred seventy-six".