4288341640 has 48 divisors (see below), whose sum is σ = 10605683340. Its totient is φ = 1559395200.

The previous prime is 4288341623. The next prime is 4288341641. The reversal of 4288341640 is 461438824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4260695076 + 27646564 = 65274^2 + 5258^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4288341593 and 4288341602.

It is not an unprimeable number, because it can be changed into a prime (4288341641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438171 + ... + 447850.

Almost surely, 2^4288341640 is an apocalyptic number.

4288341640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4288341640 is an abundant number, since it is smaller than the sum of its proper divisors (6317341700).

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

4288341640 is a wasteful number, since it uses less digits than its factorization.

4288341640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886054 (or 886039 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 4288341640 is about 65485.4307460828. The cubic root of 4288341640 is about 1624.6623854035.

The spelling of 4288341640 in words is "four billion, two hundred eighty-eight million, three hundred forty-one thousand, six hundred forty".