340340341240400 has 240 divisors, whose sum is σ = 837218665617600. Its totient is φ = 132914428416000.

The previous prime is 340340341240397. The next prime is 340340341240409. The reversal of 340340341240400 is 4042143043043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340340341240409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31341770171 + ... + 31341781029.

It is an arithmetic number, because the mean of its divisors is an integer number (3488411106740).

Almost surely, 2^{340340341240400} 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 340340341240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418609332808800).

340340341240400 is an abundant number, since it is smaller than the sum of its proper divisors (496878324377200).

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

340340341240400 is a wasteful number, since it uses less digits than its factorization.

340340341240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20318 (or 20307 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 340340341240400 its reverse (4042143043043), we get a palindrome (344382484283443).

The spelling of 340340341240400 in words is "three hundred forty trillion, three hundred forty billion, three hundred forty-one million, two hundred forty thousand, four hundred".