4284808640 has 112 divisors (see below), whose sum is σ = 11729264832. Its totient is φ = 1460453376.

The previous prime is 4284808637. The next prime is 4284808651. The reversal of 4284808640 is 468084824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4284808591 and 4284808600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381992 + ... + 393048.

Almost surely, 2^4284808640 is an apocalyptic number.

4284808640 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 4284808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864632416).

4284808640 is an abundant number, since it is smaller than the sum of its proper divisors (7444456192).

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

4284808640 is a wasteful number, since it uses less digits than its factorization.

4284808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11254 (or 11244 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The square root of 4284808640 is about 65458.4497219419. The cubic root of 4284808640 is about 1624.2160971710.

The spelling of 4284808640 in words is "four billion, two hundred eighty-four million, eight hundred eight thousand, six hundred forty".