433140432032 has 144 divisors (see below), whose sum is σ = 1077800020416. Its totient is φ = 167718988800.

The previous prime is 433140432013. The next prime is 433140432061. The reversal of 433140432032 is 230234041334.

It is a super-2 number, since 2×433140432032² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 433140431986 and 433140432004.

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 23 ways as a sum of consecutive naturals, for example, 4368932 + ... + 4466972.

It is an arithmetic number, because the mean of its divisors is an integer number (7484722364).

Almost surely, 2^433140432032 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 433140432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538900010208).

433140432032 is an abundant number, since it is smaller than the sum of its proper divisors (644659588384).

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

433140432032 is a wasteful number, since it uses less digits than its factorization.

433140432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98243 (or 98224 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 433140432032 its reverse (230234041334), we get a palindrome (663374473366).

The spelling of 433140432032 in words is "four hundred thirty-three billion, one hundred forty million, four hundred thirty-two thousand, thirty-two".