433066632402132 has 288 divisors, whose sum is σ = 1180777435987968. Its totient is φ = 133477937379072.

The previous prime is 433066632402067. The next prime is 433066632402133. The reversal of 433066632402132 is 231204236660334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433066632402133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3436346473 + ... + 3436472495.

It is an arithmetic number, because the mean of its divisors is an integer number (4099921652736).

Almost surely, 2^{433066632402132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433066632402132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590388717993984).

433066632402132 is an abundant number, since it is smaller than the sum of its proper divisors (747710803585836).

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

433066632402132 is a wasteful number, since it uses less digits than its factorization.

433066632402132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126819 (or 126814 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 45.

The spelling of 433066632402132 in words is "four hundred thirty-three trillion, sixty-six billion, six hundred thirty-two million, four hundred two thousand, one hundred thirty-two".