4242624640 has 32 divisors (see below), whose sum is σ = 10142526060. Its totient is φ = 1697049600.

The previous prime is 4242624599. The next prime is 4242624649. The reversal of 4242624640 is 464262424.

It can be written as a sum of positive squares in 2 ways, for example, as 4241656384 + 968256 = 65128^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 4242624596 and 4242624605.

It is not an unprimeable number, because it can be changed into a prime (4242624649) 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 3 ways as a sum of consecutive naturals, for example, 3313911 + ... + 3315190.

Almost surely, 2^4242624640 is an apocalyptic number.

4242624640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242624640 is an abundant number, since it is smaller than the sum of its proper divisors (5899901420).

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

4242624640 is an equidigital number, since it uses as much as digits as its factorization.

4242624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629120 (or 6629108 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The square root of 4242624640 is about 65135.4330606622. The cubic root of 4242624640 is about 1618.8683658173.

The spelling of 4242624640 in words is "four billion, two hundred forty-two million, six hundred twenty-four thousand, six hundred forty".