432304313023000 has 512 divisors, whose sum is σ = 1120926822912000. Its totient is φ = 154747219200000.

The previous prime is 432304313022971. The next prime is 432304313023013. The reversal of 432304313023000 is 320313403234.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 432304313023000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 283850500239 + ... + 283850501761.

It is an arithmetic number, because the mean of its divisors is an integer number (2189310201000).

Almost surely, 2^{432304313023000} is an apocalyptic number.

432304313023000 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 432304313023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560463411456000).

432304313023000 is an abundant number, since it is smaller than the sum of its proper divisors (688622509889000).

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

432304313023000 is a wasteful number, since it uses less digits than its factorization.

432304313023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 432304313023000 its reverse (320313403234), we get a palindrome (432624626426234).

The spelling of 432304313023000 in words is "four hundred thirty-two trillion, three hundred four billion, three hundred thirteen million, twenty-three thousand".