432790800000 has 384 divisors, whose sum is σ = 1547495953920. Its totient is φ = 106529280000.

The previous prime is 432790799989. The next prime is 432790800007. The reversal of 432790800000 is 8097234.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (432790800007) 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, 15586129 + ... + 15613871.

It is an arithmetic number, because the mean of its divisors is an integer number (4029937380).

Almost surely, 2^432790800000 is an apocalyptic number.

432790800000 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 432790800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773747976960).

432790800000 is an abundant number, since it is smaller than the sum of its proper divisors (1114705153920).

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

432790800000 is an equidigital number, since it uses as much as digits as its factorization.

432790800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27798 (or 27766 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 432790800000 its reverse (8097234), we get a palindrome (432798897234).

The spelling of 432790800000 in words is "four hundred thirty-two billion, seven hundred ninety million, eight hundred thousand".