342131406400 has 189 divisors, whose sum is σ = 979772162499. Its totient is φ = 117246044160.

The previous prime is 342131406389. The next prime is 342131406403. The reversal of 342131406400 is 4604131243.

The square root of 342131406400 is 584920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28280476224 + 313850930176 = 168168^2 + 560224^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342131406403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 163776556 + ... + 163778644.

Almost surely, 2^342131406400 is an apocalyptic number.

342131406400 is the 584920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342131406400

342131406400 is an abundant number, since it is smaller than the sum of its proper divisors (637640756099).

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

342131406400 is an frugal number, since it uses more digits than its factorization.

342131406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 342131406400 its reverse (4604131243), we get a palindrome (346735537643).

The spelling of 342131406400 in words is "three hundred forty-two billion, one hundred thirty-one million, four hundred six thousand, four hundred".