4272433200 has 360 divisors, whose sum is σ = 17943146208. Its totient is φ = 919019520.

The previous prime is 4272433199. The next prime is 4272433201. The reversal of 4272433200 is 23342724.

4272433200 is a `hidden beast` number, since 4 + 27 + 2 + 433 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (4272433199) and next prime (4272433201).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (4272433201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 423414 + ... + 433386.

Almost surely, 2^4272433200 is an apocalyptic number.

4272433200 is a gapful number since it is divisible by the number (40) 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 4272433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971573104).

4272433200 is an abundant number, since it is smaller than the sum of its proper divisors (13670713008).

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

4272433200 is a wasteful number, since it uses less digits than its factorization.

4272433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10021 (or 10007 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 4272433200 is about 65363.8523956476. The cubic root of 4272433200 is about 1622.6508953102.

Adding to 4272433200 its reverse (23342724), we get a palindrome (4295775924).

The spelling of 4272433200 in words is "four billion, two hundred seventy-two million, four hundred thirty-three thousand, two hundred".