4224632832 has 288 divisors, whose sum is σ = 14105145600. Its totient is φ = 1193213952.

The previous prime is 4224632749. The next prime is 4224632837. The reversal of 4224632832 is 2382364224.

It is a tau number, because it is divible by the number of its divisors (288).

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 (4224632837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17676169 + ... + 17676407.

It is an arithmetic number, because the mean of its divisors is an integer number (48976200).

Almost surely, 2^4224632832 is an apocalyptic number.

4224632832 is a gapful number since it is divisible by the number (42) 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 4224632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052572800).

4224632832 is an abundant number, since it is smaller than the sum of its proper divisors (9880512768).

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

4224632832 is a wasteful number, since it uses less digits than its factorization.

4224632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 4224632832 is about 64997.1755694046. The cubic root of 4224632832 is about 1616.5767310487.

It can be divided in two parts, 42246 and 32832, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 4224632832 in words is "four billion, two hundred twenty-four million, six hundred thirty-two thousand, eight hundred thirty-two".