4286204832000 has 4608 divisors, whose sum is σ = 20570554368000. Its totient is φ = 780337152000.

The previous prime is 4286204831933. The next prime is 4286204832001. The reversal of 4286204832000 is 2384026824.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4286204832000.

It is not an unprimeable number, because it can be changed into a prime (4286204832001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 138264671985 + ... + 138264672015.

It is an arithmetic number, because the mean of its divisors is an integer number (4464096000).

Almost surely, 2^{4286204832000} is an apocalyptic number.

4286204832000 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 4286204832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285277184000).

4286204832000 is an abundant number, since it is smaller than the sum of its proper divisors (16284349536000).

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

4286204832000 is a wasteful number, since it uses less digits than its factorization.

4286204832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

Adding to 4286204832000 its reverse (2384026824), we get a palindrome (4288588858824).

The spelling of 4286204832000 in words is "four trillion, two hundred eighty-six billion, two hundred four million, eight hundred thirty-two thousand".