342621120000 has 400 divisors, whose sum is σ = 1156451004720. Its totient is φ = 90095616000.

The previous prime is 342621119987. The next prime is 342621120001. The reversal of 342621120000 is 21126243.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342621120001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 70077556 + ... + 70082444.

Almost surely, 2^342621120000 is an apocalyptic number.

342621120000 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 342621120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578225502360).

342621120000 is an abundant number, since it is smaller than the sum of its proper divisors (813829884720).

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

342621120000 is an frugal number, since it uses more digits than its factorization.

342621120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 342621120000 its reverse (21126243), we get a palindrome (342642246243).

The spelling of 342621120000 in words is "three hundred forty-two billion, six hundred twenty-one million, one hundred twenty thousand".