432342240000 has 360 divisors, whose sum is σ = 1568600037312. Its totient is φ = 104808960000.

The previous prime is 432342239983. The next prime is 432342240019. The reversal of 432342240000 is 42243234.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5239059 + ... + 5320941.

Almost surely, 2^432342240000 is an apocalyptic number.

432342240000 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 432342240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784300018656).

432342240000 is an abundant number, since it is smaller than the sum of its proper divisors (1136257797312).

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

432342240000 is an equidigital number, since it uses as much as digits as its factorization.

432342240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81933 (or 81904 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 432342240000 its reverse (42243234), we get a palindrome (432384483234).

The spelling of 432342240000 in words is "four hundred thirty-two billion, three hundred forty-two million, two hundred forty thousand".