343143413200000 has 288 divisors, whose sum is σ = 993955395009780. Its totient is φ = 117649163520000.

The previous prime is 343143413199997. The next prime is 343143413200037. The reversal of 343143413200000 is 2314341343.

It can be written as a sum of positive squares in 6 ways, for example, as 57334093637184 + 285809319562816 = 7571928^2 + 16905896^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10846342 + ... + 28353658.

Almost surely, 2^{343143413200000} 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 343143413200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496977697504890).

343143413200000 is an abundant number, since it is smaller than the sum of its proper divisors (650811981809780).

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

343143413200000 is an frugal number, since it uses more digits than its factorization.

343143413200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17507370 (or 17507331 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 343143413200000 its reverse (2314341343), we get a palindrome (343145727541343).

The spelling of 343143413200000 in words is "three hundred forty-three trillion, one hundred forty-three billion, four hundred thirteen million, two hundred thousand".