432201230756000 has 192 divisors, whose sum is σ = 1074252115722240. Its totient is φ = 170874019993600.

The previous prime is 432201230755969. The next prime is 432201230756027. The reversal of 432201230756000 is 657032102234.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 956346089 + ... + 956797911.

It is an arithmetic number, because the mean of its divisors is an integer number (5595063102720).

Almost surely, 2^{432201230756000} is an apocalyptic number.

432201230756000 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 432201230756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537126057861120).

432201230756000 is an abundant number, since it is smaller than the sum of its proper divisors (642050884966240).

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

432201230756000 is a wasteful number, since it uses less digits than its factorization.

432201230756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454624 (or 454606 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

Adding to 432201230756000 its reverse (657032102234), we get a palindrome (432858262858234).

The spelling of 432201230756000 in words is "four hundred thirty-two trillion, two hundred one billion, two hundred thirty million, seven hundred fifty-six thousand".