4288014720 has 512 divisors, whose sum is σ = 17555097600. Its totient is φ = 977633280.

The previous prime is 4288014719. The next prime is 4288014721. The reversal of 4288014720 is 274108824.

It is an interprime number because it is at equal distance from previous prime (4288014719) and next prime (4288014721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288014721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3230697 + ... + 3232023.

It is an arithmetic number, because the mean of its divisors is an integer number (34287300).

Almost surely, 2^4288014720 is an apocalyptic number.

4288014720 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 4288014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777548800).

4288014720 is an abundant number, since it is smaller than the sum of its proper divisors (13267082880).

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

4288014720 is a wasteful number, since it uses less digits than its factorization.

4288014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4288014720 is about 65482.9345707719. The cubic root of 4288014720 is about 1624.6210991932.

It can be divided in two parts, 42880 and 14720, that added together give a square (57600 = 240²).

The spelling of 4288014720 in words is "four billion, two hundred eighty-eight million, fourteen thousand, seven hundred twenty".