4242133248 has 288 divisors, whose sum is σ = 12457869312. Its totient is φ = 1277337600.

The previous prime is 4242133243. The next prime is 4242133277. The reversal of 4242133248 is 8423312424.

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 (4242133243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33402561 + ... + 33402687.

Almost surely, 2^4242133248 is an apocalyptic number.

4242133248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228934656).

4242133248 is an abundant number, since it is smaller than the sum of its proper divisors (8215736064).

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

4242133248 is a wasteful number, since it uses less digits than its factorization.

4242133248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 4242133248 is about 65131.6608724206. The cubic root of 4242133248 is about 1618.8058628665.

The spelling of 4242133248 in words is "four billion, two hundred forty-two million, one hundred thirty-three thousand, two hundred forty-eight".