340223213343200 has 576 divisors, whose sum is σ = 960989272750080. Its totient is φ = 116319732480000.

The previous prime is 340223213343163. The next prime is 340223213343227. The reversal of 340223213343200 is 2343312322043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29362487807 + ... + 29362499393.

It is an arithmetic number, because the mean of its divisors is an integer number (1668384154080).

Almost surely, 2^{340223213343200} 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 340223213343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480494636375040).

340223213343200 is an abundant number, since it is smaller than the sum of its proper divisors (620766059406880).

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

340223213343200 is a wasteful number, since it uses less digits than its factorization.

340223213343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12951 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 340223213343200 its reverse (2343312322043), we get a palindrome (342566525665243).

The spelling of 340223213343200 in words is "three hundred forty trillion, two hundred twenty-three billion, two hundred thirteen million, three hundred forty-three thousand, two hundred".