432122414240 has 192 divisors, whose sum is σ = 1197260144640. Its totient is φ = 145697264640.

The previous prime is 432122414161. The next prime is 432122414249. The reversal of 432122414240 is 42414221234.

It is a happy number.

It is a super-3 number, since 3×432122414240³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (432122414249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1434209 + ... + 1709151.

It is an arithmetic number, because the mean of its divisors is an integer number (6235729920).

Almost surely, 2^432122414240 is an apocalyptic number.

432122414240 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 432122414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598630072320).

432122414240 is an abundant number, since it is smaller than the sum of its proper divisors (765137730400).

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

432122414240 is a wasteful number, since it uses less digits than its factorization.

432122414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275035 (or 275027 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 432122414240 its reverse (42414221234), we get a palindrome (474536635474).

The spelling of 432122414240 in words is "four hundred thirty-two billion, one hundred twenty-two million, four hundred fourteen thousand, two hundred forty".