340114334203120 has 160 divisors (see below), whose sum is σ = 838185266995200. Its totient is φ = 127904866111488.

The previous prime is 340114334203109. The next prime is 340114334203123. The reversal of 340114334203120 is 21302433411043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340114334203123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11884200171 + ... + 11884228789.

It is an arithmetic number, because the mean of its divisors is an integer number (5238657918720).

Almost surely, 2^{340114334203120} 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 340114334203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419092633497600).

340114334203120 is an abundant number, since it is smaller than the sum of its proper divisors (498070932792080).

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

340114334203120 is a wasteful number, since it uses less digits than its factorization.

340114334203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37775 (or 37769 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 340114334203120 its reverse (21302433411043), we get a palindrome (361416767614163).

The spelling of 340114334203120 in words is "three hundred forty trillion, one hundred fourteen billion, three hundred thirty-four million, two hundred three thousand, one hundred twenty".