4298424883200 has 3456 divisors, whose sum is σ = 20005719552000. Its totient is φ = 899245670400.

The previous prime is 4298424883079. The next prime is 4298424883217. The reversal of 4298424883200 is 23884248924.

4298424883200 is a `hidden beast` number, since 4 + 2 + 9 + 8 + 424 + 8 + 8 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48296908756 + ... + 48296908844.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692000).

Almost surely, 2^{4298424883200} is an apocalyptic number.

4298424883200 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 4298424883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10002859776000).

4298424883200 is an abundant number, since it is smaller than the sum of its proper divisors (15707294668800).

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

4298424883200 is a wasteful number, since it uses less digits than its factorization.

4298424883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 4298424883200 in words is "four trillion, two hundred ninety-eight billion, four hundred twenty-four million, eight hundred eighty-three thousand, two hundred".