340204313131300 has 144 divisors (see below), whose sum is σ = 747757890432000. Its totient is φ = 134340371020800.

The previous prime is 340204313131283. The next prime is 340204313131303. The reversal of 340204313131300 is 3131313402043.

It is a super-2 number, since 2×340204313131300² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340204313131303) 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, 3212968159 + ... + 3213074041.

It is an arithmetic number, because the mean of its divisors is an integer number (5192763128000).

Almost surely, 2^{340204313131300} 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 340204313131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373878945216000).

340204313131300 is an abundant number, since it is smaller than the sum of its proper divisors (407553577300700).

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

340204313131300 is a wasteful number, since it uses less digits than its factorization.

340204313131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107366 (or 107359 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 340204313131300 its reverse (3131313402043), we get a palindrome (343335626533343).

The spelling of 340204313131300 in words is "three hundred forty trillion, two hundred four billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred".