4288561200 has 840 divisors, whose sum is σ = 19360475136. Its totient is φ = 886464000.

The previous prime is 4288561181. The next prime is 4288561217. The reversal of 4288561200 is 21658824.

4288561200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×4288561200² = 36783514332290880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 22453105 + ... + 22453295.

Almost surely, 2^4288561200 is an apocalyptic number.

4288561200 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 4288561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680237568).

4288561200 is an abundant number, since it is smaller than the sum of its proper divisors (15071913936).

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

4288561200 is a wasteful number, since it uses less digits than its factorization.

4288561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4288561200 is about 65487.1071280447. The cubic root of 4288561200 is about 1624.6901121112.

The spelling of 4288561200 in words is "four billion, two hundred eighty-eight million, five hundred sixty-one thousand, two hundred".