432320114400 has 144 divisors (see below), whose sum is σ = 1415629643904. Its totient is φ = 114594926080.

The previous prime is 432320114381. The next prime is 432320114417. The reversal of 432320114400 is 4411023234.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138522 + ... + 940121.

It is an arithmetic number, because the mean of its divisors is an integer number (9830761416).

Almost surely, 2^432320114400 is an apocalyptic number.

432320114400 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 432320114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707814821952).

432320114400 is an abundant number, since it is smaller than the sum of its proper divisors (983309529504).

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

432320114400 is a wasteful number, since it uses less digits than its factorization.

432320114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078833 (or 1078820 counting only the distinct ones).

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

Adding to 432320114400 its reverse (4411023234), we get a palindrome (436731137634).

The spelling of 432320114400 in words is "four hundred thirty-two billion, three hundred twenty million, one hundred fourteen thousand, four hundred".