4272342144 has 256 divisors, whose sum is σ = 13382400000. Its totient is φ = 1207084032.

The previous prime is 4272342077. The next prime is 4272342149. The reversal of 4272342144 is 4412432724.

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 (4272342149) 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, 21468957 + ... + 21469155.

It is an arithmetic number, because the mean of its divisors is an integer number (52275000).

Almost surely, 2^4272342144 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 4272342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691200000).

4272342144 is an abundant number, since it is smaller than the sum of its proper divisors (9110057856).

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

4272342144 is a wasteful number, since it uses less digits than its factorization.

4272342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 374 counting only the distinct ones).

The product of its digits is 43008, while the sum is 33.

The square root of 4272342144 is about 65363.1558601633. The cubic root of 4272342144 is about 1622.6393676753.

Adding to 4272342144 its reverse (4412432724), we get a palindrome (8684774868).

The spelling of 4272342144 in words is "four billion, two hundred seventy-two million, three hundred forty-two thousand, one hundred forty-four".