4242661500 has 384 divisors, whose sum is σ = 15590615040. Its totient is φ = 870912000.

The previous prime is 4242661469. The next prime is 4242661513. The reversal of 4242661500 is 51662424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12589332 + ... + 12589668.

It is an arithmetic number, because the mean of its divisors is an integer number (40600560).

Almost surely, 2^4242661500 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 4242661500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795307520).

4242661500 is an abundant number, since it is smaller than the sum of its proper divisors (11347953540).

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

4242661500 is a wasteful number, since it uses less digits than its factorization.

4242661500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4242661500 is about 65135.7160089609. The cubic root of 4242661500 is about 1618.8730540563.

The spelling of 4242661500 in words is "four billion, two hundred forty-two million, six hundred sixty-one thousand, five hundred".