432344013240 has 128 divisors (see below), whose sum is σ = 1318460094720. Its totient is φ = 113392435200.

The previous prime is 432344013169. The next prime is 432344013251. The reversal of 432344013240 is 42310443234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 432344013198 and 432344013207.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5111695 + ... + 5195585.

It is an arithmetic number, because the mean of its divisors is an integer number (10300469490).

Almost surely, 2^432344013240 is an apocalyptic number.

432344013240 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 432344013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659230047360).

432344013240 is an abundant number, since it is smaller than the sum of its proper divisors (886116081480).

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

432344013240 is a wasteful number, since it uses less digits than its factorization.

432344013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84613 (or 84609 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 432344013240 its reverse (42310443234), we get a palindrome (474654456474).

The spelling of 432344013240 in words is "four hundred thirty-two billion, three hundred forty-four million, thirteen thousand, two hundred forty".