432424100000 has 144 divisors (see below), whose sum is σ = 1065289379616. Its totient is φ = 172776480000.

The previous prime is 432424099967. The next prime is 432424100023. The reversal of 432424100000 is 1424234.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118698179 + ... + 118701821.

It is an arithmetic number, because the mean of its divisors is an integer number (7397842914).

Almost surely, 2^432424100000 is an apocalyptic number.

432424100000 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 432424100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532644689808).

432424100000 is an abundant number, since it is smaller than the sum of its proper divisors (632865279616).

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

432424100000 is an equidigital number, since it uses as much as digits as its factorization.

432424100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 432424100000 its reverse (1424234), we get a palindrome (432425524234).

The spelling of 432424100000 in words is "four hundred thirty-two billion, four hundred twenty-four million, one hundred thousand".