432441123000 has 256 divisors, whose sum is σ = 1373322263040. Its totient is φ = 113270400000.

The previous prime is 432441122941. The next prime is 432441123007. The reversal of 432441123000 is 321144234.

It is a super-2 number, since 2×432441123000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432441123007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54965067 + ... + 54972933.

It is an arithmetic number, because the mean of its divisors is an integer number (5364540090).

Almost surely, 2^432441123000 is an apocalyptic number.

432441123000 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 432441123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686661131520).

432441123000 is an abundant number, since it is smaller than the sum of its proper divisors (940881140040).

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

432441123000 is a wasteful number, since it uses less digits than its factorization.

432441123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 432441123000 its reverse (321144234), we get a palindrome (432762267234).

The spelling of 432441123000 in words is "four hundred thirty-two billion, four hundred forty-one million, one hundred twenty-three thousand".