342430544000 has 128 divisors (see below), whose sum is σ = 854543617200. Its totient is φ = 136461312000.

The previous prime is 342430543981. The next prime is 342430544023. The reversal of 342430544000 is 445034243.

It can be written as a sum of positive squares in 8 ways, for example, as 25515589696 + 316914954304 = 159736^2 + 562952^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4264220 + ... + 4343780.

Almost surely, 2^342430544000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342430544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427271808600).

342430544000 is an abundant number, since it is smaller than the sum of its proper divisors (512113073200).

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

342430544000 is an equidigital number, since it uses as much as digits as its factorization.

342430544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79859 (or 79837 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 342430544000 its reverse (445034243), we get a palindrome (342875578243).

The spelling of 342430544000 in words is "three hundred forty-two billion, four hundred thirty million, five hundred forty-four thousand".