432041020232200 has 384 divisors, whose sum is σ = 1059170333760000. Its totient is φ = 163699380449280.

The previous prime is 432041020232197. The next prime is 432041020232233. The reversal of 432041020232200 is 2232020140234.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55016043474 + ... + 55016051326.

It is an arithmetic number, because the mean of its divisors is an integer number (2758256077500).

Almost surely, 2^{432041020232200} is an apocalyptic number.

432041020232200 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 432041020232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529585166880000).

432041020232200 is an abundant number, since it is smaller than the sum of its proper divisors (627129313527800).

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

432041020232200 is a wasteful number, since it uses less digits than its factorization.

432041020232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8769 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 432041020232200 its reverse (2232020140234), we get a palindrome (434273040372434).

The spelling of 432041020232200 in words is "four hundred thirty-two trillion, forty-one billion, twenty million, two hundred thirty-two thousand, two hundred".