4287543840 has 240 divisors, whose sum is σ = 15502437720. Its totient is φ = 1115320320.

The previous prime is 4287543791. The next prime is 4287543847. The reversal of 4287543840 is 483457824.

It is a happy number.

4287543840 is a `hidden beast` number, since 4 + 28 + 7 + 543 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 831514896 + 3456028944 = 28836^2 + 58788^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4287543847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 527326 + ... + 535394.

Almost surely, 2^4287543840 is an apocalyptic number.

4287543840 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 4287543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7751218860).

4287543840 is an abundant number, since it is smaller than the sum of its proper divisors (11214893880).

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

4287543840 is a wasteful number, since it uses less digits than its factorization.

4287543840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137 (or 8120 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 4287543840 is about 65479.3390314838. The cubic root of 4287543840 is about 1624.5616288137.

The spelling of 4287543840 in words is "four billion, two hundred eighty-seven million, five hundred forty-three thousand, eight hundred forty".