4285071200 has 72 divisors (see below), whose sum is σ = 10658411568. Its totient is φ = 1681671680.

The previous prime is 4285071191. The next prime is 4285071211. The reversal of 4285071200 is 21705824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8132 + ... + 92931.

It is an arithmetic number, because the mean of its divisors is an integer number (148033494).

Almost surely, 2^4285071200 is an apocalyptic number.

4285071200 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 4285071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329205784).

4285071200 is an abundant number, since it is smaller than the sum of its proper divisors (6373340368).

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

4285071200 is a wasteful number, since it uses less digits than its factorization.

4285071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101136 (or 101123 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 4285071200 is about 65460.4552382582. The cubic root of 4285071200 is about 1624.2492721623.

The spelling of 4285071200 in words is "four billion, two hundred eighty-five million, seventy-one thousand, two hundred".