4652605440 has 448 divisors, whose sum is σ = 18936126720. Its totient is φ = 1061683200.

The previous prime is 4652605417. The next prime is 4652605453. The reversal of 4652605440 is 445062564.

4652605440 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 605 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 4652605395 and 4652605404.

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, 7741140 + ... + 7741740.

It is an arithmetic number, because the mean of its divisors is an integer number (42268140).

Almost surely, 2^4652605440 is an apocalyptic number.

4652605440 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 4652605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9468063360).

4652605440 is an abundant number, since it is smaller than the sum of its proper divisors (14283521280).

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

4652605440 is an equidigital number, since it uses as much as digits as its factorization.

4652605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4652605440 is about 68210.0098226059. The cubic root of 4652605440 is about 1669.4192154935.

The spelling of 4652605440 in words is "four billion, six hundred fifty-two million, six hundred five thousand, four hundred forty".