4288743360 has 504 divisors, whose sum is σ = 16779654528. Its totient is φ = 1003622400.

The previous prime is 4288743343. The next prime is 4288743413. The reversal of 4288743360 is 633478824.

4288743360 is a `hidden beast` number, since 4 + 288 + 7 + 4 + 3 + 360 = 666.

4288743360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10802682 + ... + 10803078.

Almost surely, 2^4288743360 is an apocalyptic number.

4288743360 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 4288743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8389827264).

4288743360 is an abundant number, since it is smaller than the sum of its proper divisors (12490911168).

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

4288743360 is a wasteful number, since it uses less digits than its factorization.

4288743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4288743360 is about 65488.4979213907. The cubic root of 4288743360 is about 1624.7131151144.

It can be divided in two parts, 428874 and 3360, that added together give a palindrome (432234).

The spelling of 4288743360 in words is "four billion, two hundred eighty-eight million, seven hundred forty-three thousand, three hundred sixty".