342315412320000 has 360 divisors, whose sum is σ = 1301095252944256. Its totient is φ = 78243522048000.

The previous prime is 342315412319887. The next prime is 342315412320001. The reversal of 342315412320000 is 23214513243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 342315412320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342315412320001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47579794 + ... + 54299793.

Almost surely, 2^{342315412320000} is an apocalyptic number.

342315412320000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342315412320000 is an abundant number, since it is smaller than the sum of its proper divisors (958779840624256).

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

342315412320000 is an equidigital number, since it uses as much as digits as its factorization.

342315412320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101879633 (or 101879604 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 342315412320000 its reverse (23214513243), we get a palindrome (342338626833243).

The spelling of 342315412320000 in words is "three hundred forty-two trillion, three hundred fifteen billion, four hundred twelve million, three hundred twenty thousand".