340403205200 has 120 divisors (see below), whose sum is σ = 838929013440. Its totient is φ = 132655795200.

The previous prime is 340403205083. The next prime is 340403205203. The reversal of 340403205200 is 2502304043.

It is a super-2 number, since 2×340403205200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340403205203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12105557 + ... + 12133643.

It is an arithmetic number, because the mean of its divisors is an integer number (6991075112).

Almost surely, 2^340403205200 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 340403205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419464506720).

340403205200 is an abundant number, since it is smaller than the sum of its proper divisors (498525808240).

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

340403205200 is a wasteful number, since it uses less digits than its factorization.

340403205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28885 (or 28874 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 340403205200 its reverse (2502304043), we get a palindrome (342905509243).

The spelling of 340403205200 in words is "three hundred forty billion, four hundred three million, two hundred five thousand, two hundred".