340332230304400 has 180 divisors, whose sum is σ = 864464063588100. Its totient is φ = 128741314682880.

The previous prime is 340332230304389. The next prime is 340332230304461. The reversal of 340332230304400 is 4403032233043.

It can be written as a sum of positive squares in 6 ways, for example, as 4811828313744 + 335520401990656 = 2193588^2 + 18317216^2 .

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, 80092536 + ... + 84234664.

It is an arithmetic number, because the mean of its divisors is an integer number (4802578131045).

Almost surely, 2^{340332230304400} 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 340332230304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432232031794050).

340332230304400 is an abundant number, since it is smaller than the sum of its proper divisors (524131833283700).

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

340332230304400 is a wasteful number, since it uses less digits than its factorization.

340332230304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142754 (or 4142724 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 31.

Adding to 340332230304400 its reverse (4403032233043), we get a palindrome (344735262537443).

The spelling of 340332230304400 in words is "three hundred forty trillion, three hundred thirty-two billion, two hundred thirty million, three hundred four thousand, four hundred".