340214331200 has 84 divisors (see below), whose sum is σ = 837458482560. Its totient is φ = 136033943040.

The previous prime is 340214331199. The next prime is 340214331229. The reversal of 340214331200 is 2133412043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4311299 + ... + 4389501.

It is an arithmetic number, because the mean of its divisors is an integer number (9969743840).

Almost surely, 2^340214331200 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 340214331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418729241280).

340214331200 is an abundant number, since it is smaller than the sum of its proper divisors (497244151360).

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

340214331200 is a wasteful number, since it uses less digits than its factorization.

340214331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80944 (or 80929 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 340214331200 its reverse (2133412043), we get a palindrome (342347743243).

It can be divided in two parts, 3402143 and 31200, that added together give a palindrome (3433343).

The spelling of 340214331200 in words is "three hundred forty billion, two hundred fourteen million, three hundred thirty-one thousand, two hundred".