432414341440 has 112 divisors (see below), whose sum is σ = 1065506428800. Its totient is φ = 166952282112.

The previous prime is 432414341399. The next prime is 432414341449. The reversal of 432414341440 is 44143414234.

It is a junction number, because it is equal to n+sod(n) for n = 432414341396 and 432414341405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432414341449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57968431 + ... + 57975889.

Almost surely, 2^432414341440 is an apocalyptic number.

432414341440 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 432414341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532753214400).

432414341440 is an abundant number, since it is smaller than the sum of its proper divisors (633092087360).

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

432414341440 is a wasteful number, since it uses less digits than its factorization.

432414341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13752 (or 13742 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 432414341440 its reverse (44143414234), we get a palindrome (476557755674).

The spelling of 432414341440 in words is "four hundred thirty-two billion, four hundred fourteen million, three hundred forty-one thousand, four hundred forty".