4201832448 has 336 divisors, whose sum is σ = 13770894480. Its totient is φ = 1265172480.

The previous prime is 4201832447. The next prime is 4201832483. The reversal of 4201832448 is 8442381024.

4201832448 is a `hidden beast` number, since 4 + 201 + 8 + 3 + 2 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201832447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26763186 + ... + 26763342.

It is an arithmetic number, because the mean of its divisors is an integer number (40984805).

Almost surely, 2^4201832448 is an apocalyptic number.

4201832448 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 4201832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885447240).

4201832448 is an abundant number, since it is smaller than the sum of its proper divisors (9569062032).

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

4201832448 is a wasteful number, since it uses less digits than its factorization.

4201832448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4201832448 is about 64821.5430856131. The cubic root of 4201832448 is about 1613.6632566774.

The spelling of 4201832448 in words is "four billion, two hundred one million, eight hundred thirty-two thousand, four hundred forty-eight".