432344434000 has 160 divisors (see below), whose sum is σ = 1062279009792. Its totient is φ = 170153280000.

The previous prime is 432344433949. The next prime is 432344434013. The reversal of 432344434000 is 434443234.

It is a super-2 number, since 2×432344434000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164952690 + ... + 164955310.

Almost surely, 2^432344434000 is an apocalyptic number.

432344434000 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 432344434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531139504896).

432344434000 is an abundant number, since it is smaller than the sum of its proper divisors (629934575792).

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

432344434000 is a wasteful number, since it uses less digits than its factorization.

432344434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 432344434000 its reverse (434443234), we get a palindrome (432778877234).

The spelling of 432344434000 in words is "four hundred thirty-two billion, three hundred forty-four million, four hundred thirty-four thousand".