31342400430400 has 84 divisors (see below), whose sum is σ = 77177744463100. Its totient is φ = 12527881113600.

The previous prime is 31342400430379. The next prime is 31342400430403. The reversal of 31342400430400 is 403400424313.

It can be written as a sum of positive squares in 6 ways, for example, as 7799642470656 + 23542757959744 = 2792784^2 + 4852088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31342400430403) 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 11 ways as a sum of consecutive naturals, for example, 4882725 + ... + 9301924.

Almost surely, 2^{31342400430400} is an apocalyptic number.

It is an amenable number.

31342400430400 is an abundant number, since it is smaller than the sum of its proper divisors (45835344032700).

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

31342400430400 is a wasteful number, since it uses less digits than its factorization.

31342400430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14186052 (or 14186037 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 31342400430400 its reverse (403400424313), we get a palindrome (31745800854713).

The spelling of 31342400430400 in words is "thirty-one trillion, three hundred forty-two billion, four hundred million, four hundred thirty thousand, four hundred".