4242217600 has 48 divisors (see below), whose sum is σ = 10479611070. Its totient is φ = 1696885760.

The previous prime is 4242217583. The next prime is 4242217607. The reversal of 4242217600 is 67122424.

It is a happy number.

4242217600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3400289344 + 841928256 = 58312^2 + 29016^2 .

It is not an unprimeable number, because it can be changed into a prime (4242217607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 659647 + ... + 666046.

Almost surely, 2^4242217600 is an apocalyptic number.

4242217600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242217600 is an abundant number, since it is smaller than the sum of its proper divisors (6237393470).

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

4242217600 is a wasteful number, since it uses less digits than its factorization.

4242217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325717 (or 1325700 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 4242217600 is about 65132.3084190941. The cubic root of 4242217600 is about 1618.8165924215.

The spelling of 4242217600 in words is "four billion, two hundred forty-two million, two hundred seventeen thousand, six hundred".