4280242640 has 80 divisors (see below), whose sum is σ = 10104866640. Its totient is φ = 1685913600.

The previous prime is 4280242607. The next prime is 4280242649. The reversal of 4280242640 is 462420824.

It can be written as a sum of positive squares in 8 ways, for example, as 254593936 + 4025648704 = 15956^2 + 63448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4280242597 and 4280242606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280242649) 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 15 ways as a sum of consecutive naturals, for example, 1590416 + ... + 1593104.

It is an arithmetic number, because the mean of its divisors is an integer number (126310833).

Almost surely, 2^4280242640 is an apocalyptic number.

4280242640 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 4280242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052433320).

4280242640 is an abundant number, since it is smaller than the sum of its proper divisors (5824624000).

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

4280242640 is a wasteful number, since it uses less digits than its factorization.

4280242640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 4280242640 is about 65423.5633392129. The cubic root of 4280242640 is about 1623.6389569243.

The spelling of 4280242640 in words is "four billion, two hundred eighty million, two hundred forty-two thousand, six hundred forty".