432731200000 has 480 divisors, whose sum is σ = 1231357438080. Its totient is φ = 150374400000.

The previous prime is 432731199983. The next prime is 432731200003. The reversal of 432731200000 is 2137234.

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 (432731200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404799466 + ... + 404800534.

It is an arithmetic number, because the mean of its divisors is an integer number (2565327996).

Almost surely, 2^432731200000 is an apocalyptic number.

432731200000 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 432731200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615678719040).

432731200000 is an abundant number, since it is smaller than the sum of its proper divisors (798626238080).

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

432731200000 is an equidigital number, since it uses as much as digits as its factorization.

432731200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

Adding to 432731200000 its reverse (2137234), we get a palindrome (432733337234).

The spelling of 432731200000 in words is "four hundred thirty-two billion, seven hundred thirty-one million, two hundred thousand".