4242264192 has 320 divisors, whose sum is σ = 13293815040. Its totient is φ = 1341204480.

The previous prime is 4242264181. The next prime is 4242264199. The reversal of 4242264192 is 2914622424.

4242264192 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 2 + 641 + 9 + 2 = 666.

4242264192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4242264199) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21534238 + ... + 21534434.

It is an arithmetic number, because the mean of its divisors is an integer number (41543172).

Almost surely, 2^4242264192 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 4242264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646907520).

4242264192 is an abundant number, since it is smaller than the sum of its proper divisors (9051550848).

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

4242264192 is a wasteful number, since it uses less digits than its factorization.

4242264192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4242264192 is about 65132.6660900657. Note that the first 3 decimals coincide. The cubic root of 4242264192 is about 1618.8225188523.

The spelling of 4242264192 in words is "four billion, two hundred forty-two million, two hundred sixty-four thousand, one hundred ninety-two".