432041240213220 has 384 divisors, whose sum is σ = 1336382606039040. Its totient is φ = 103417683886080.

The previous prime is 432041240213213. The next prime is 432041240213251. The reversal of 432041240213220 is 22312042140234.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75571317802 + ... + 75571323518.

It is an arithmetic number, because the mean of its divisors is an integer number (3480163036560).

Almost surely, 2^{432041240213220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432041240213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668191303019520).

432041240213220 is an abundant number, since it is smaller than the sum of its proper divisors (904341365825820).

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

432041240213220 is a wasteful number, since it uses less digits than its factorization.

432041240213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363 (or 8361 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 432041240213220 its reverse (22312042140234), we get a palindrome (454353282353454).

The spelling of 432041240213220 in words is "four hundred thirty-two trillion, forty-one billion, two hundred forty million, two hundred thirteen thousand, two hundred twenty".