4240605600 has 432 divisors, whose sum is σ = 18645681600. Its totient is φ = 881049600.

The previous prime is 4240605559. The next prime is 4240605601. The reversal of 4240605600 is 65060424.

It is a happy number.

4240605600 is a `hidden beast` number, since 4 + 2 + 40 + 60 + 560 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4240605601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 550576 + ... + 558224.

It is an arithmetic number, because the mean of its divisors is an integer number (43161300).

Almost surely, 2^4240605600 is an apocalyptic number.

4240605600 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 4240605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9322840800).

4240605600 is an abundant number, since it is smaller than the sum of its proper divisors (14405076000).

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

4240605600 is a wasteful number, since it uses less digits than its factorization.

4240605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7693 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4240605600 is about 65119.9324323974. The cubic root of 4240605600 is about 1618.6115217726.

The spelling of 4240605600 in words is "four billion, two hundred forty million, six hundred five thousand, six hundred".