432040123324240 has 160 divisors (see below), whose sum is σ = 1036557108241920. Its totient is φ = 167383883317248.

The previous prime is 432040123324231. The next prime is 432040123324351. The reversal of 432040123324240 is 42423321040234.

It is a junction number, because it is equal to n+sod(n) for n = 432040123324196 and 432040123324205.

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, 2305435984 + ... + 2305623376.

It is an arithmetic number, because the mean of its divisors is an integer number (6478481926512).

Almost surely, 2^{432040123324240} is an apocalyptic number.

432040123324240 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 432040123324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518278554120960).

432040123324240 is an abundant number, since it is smaller than the sum of its proper divisors (604516984917680).

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

432040123324240 is a wasteful number, since it uses less digits than its factorization.

432040123324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194421 (or 194415 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 432040123324240 its reverse (42423321040234), we get a palindrome (474463444364474).

The spelling of 432040123324240 in words is "four hundred thirty-two trillion, forty billion, one hundred twenty-three million, three hundred twenty-four thousand, two hundred forty".