342024420000 has 240 divisors, whose sum is σ = 1123594984512. Its totient is φ = 91069440000.

The previous prime is 342024419999. The next prime is 342024420077. The reversal of 342024420000 is 24420243.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43616080 + ... + 43623920.

Almost surely, 2^342024420000 is an apocalyptic number.

342024420000 is a gapful number since it is divisible by the number (30) 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 342024420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561797492256).

342024420000 is an abundant number, since it is smaller than the sum of its proper divisors (781570564512).

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

342024420000 is an equidigital number, since it uses as much as digits as its factorization.

342024420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8601 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 342024420000 its reverse (24420243), we get a palindrome (342048840243).

The spelling of 342024420000 in words is "three hundred forty-two billion, twenty-four million, four hundred twenty thousand".