432228825000 has 768 divisors, whose sum is σ = 1816308748800. Its totient is φ = 92966400000.

The previous prime is 432228824957. The next prime is 432228825001. The reversal of 432228825000 is 528822234.

432228825000 is a `hidden beast` number, since 4 + 322 + 2 + 88 + 250 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (432228825001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80322310 + ... + 80327690.

It is an arithmetic number, because the mean of its divisors is an integer number (2364985350).

Almost surely, 2^432228825000 is an apocalyptic number.

432228825000 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 432228825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908154374400).

432228825000 is an abundant number, since it is smaller than the sum of its proper divisors (1384079923800).

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

432228825000 is a wasteful number, since it uses less digits than its factorization.

432228825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 432228825000 in words is "four hundred thirty-two billion, two hundred twenty-eight million, eight hundred twenty-five thousand".