4242002700 has 432 divisors, whose sum is σ = 14667561216. Its totient is φ = 938995200.

The previous prime is 4242002693. The next prime is 4242002701. The reversal of 4242002700 is 72002424.

It is not an unprimeable number, because it can be changed into a prime (4242002701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32381635 + ... + 32381765.

It is an arithmetic number, because the mean of its divisors is an integer number (33952688).

Almost surely, 2^4242002700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242002700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333780608).

4242002700 is an abundant number, since it is smaller than the sum of its proper divisors (10425558516).

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

4242002700 is a wasteful number, since it uses less digits than its factorization.

4242002700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 4242002700 is about 65130.6586793040. The cubic root of 4242002700 is about 1618.7892569103.

The spelling of 4242002700 in words is "four billion, two hundred forty-two million, two thousand, seven hundred".