432601213000 has 128 divisors (see below), whose sum is σ = 1105225430400. Its totient is φ = 157179552000.

The previous prime is 432601212997. The next prime is 432601213007. The reversal of 432601213000 is 312106234.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (432601213007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13833382 + ... + 13864618.

It is an arithmetic number, because the mean of its divisors is an integer number (8634573675).

Almost surely, 2^432601213000 is an apocalyptic number.

432601213000 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 432601213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552612715200).

432601213000 is an abundant number, since it is smaller than the sum of its proper divisors (672624217400).

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

432601213000 is a wasteful number, since it uses less digits than its factorization.

432601213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32528 (or 32514 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 432601213000 its reverse (312106234), we get a palindrome (432913319234).

The spelling of 432601213000 in words is "four hundred thirty-two billion, six hundred one million, two hundred thirteen thousand".