4665306240 has 256 divisors, whose sum is σ = 18883872000. Its totient is φ = 1066328064.

The previous prime is 4665306229. The next prime is 4665306253. The reversal of 4665306240 is 426035664.

4665306240 is a `hidden beast` number, since 4 + 66 + 530 + 62 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4665306195 and 4665306204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101676 + ... + 140244.

It is an arithmetic number, because the mean of its divisors is an integer number (73765125).

Almost surely, 2^4665306240 is an apocalyptic number.

4665306240 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 4665306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9441936000).

4665306240 is an abundant number, since it is smaller than the sum of its proper divisors (14218565760).

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

4665306240 is a wasteful number, since it uses less digits than its factorization.

4665306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38604 (or 38586 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4665306240 is about 68303.0470769789. The cubic root of 4665306240 is about 1670.9369095822.

The spelling of 4665306240 in words is "four billion, six hundred sixty-five million, three hundred six thousand, two hundred forty".