4328575363200 has 384 divisors, whose sum is σ = 15740780025600. Its totient is φ = 1036706713600.

The previous prime is 4328575363169. The next prime is 4328575363223. The reversal of 4328575363200 is 23635758234.

4328575363200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4328575363200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8517871 + ... + 9011729.

It is an arithmetic number, because the mean of its divisors is an integer number (40991614650).

Almost surely, 2^{4328575363200} is an apocalyptic number.

4328575363200 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 4328575363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870390012800).

4328575363200 is an abundant number, since it is smaller than the sum of its proper divisors (11412204662400).

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

4328575363200 is a wasteful number, since it uses less digits than its factorization.

4328575363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493980 (or 493963 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 4328575363200 in words is "four trillion, three hundred twenty-eight billion, five hundred seventy-five million, three hundred sixty-three thousand, two hundred".