432444410240 has 256 divisors, whose sum is σ = 1111523212800. Its totient is φ = 160479559680.

The previous prime is 432444410219. The next prime is 432444410257. The reversal of 432444410240 is 42014444234.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 432444410197 and 432444410206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108028079 + ... + 108032081.

It is an arithmetic number, because the mean of its divisors is an integer number (4341887550).

Almost surely, 2^432444410240 is an apocalyptic number.

432444410240 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 432444410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555761606400).

432444410240 is an abundant number, since it is smaller than the sum of its proper divisors (679078802560).

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

432444410240 is a wasteful number, since it uses less digits than its factorization.

432444410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 432444410240 its reverse (42014444234), we get a palindrome (474458854474).

The spelling of 432444410240 in words is "four hundred thirty-two billion, four hundred forty-four million, four hundred ten thousand, two hundred forty".