31414311420400 has 60 divisors (see below), whose sum is σ = 79445140216600. Its totient is φ = 11904370640640.

The previous prime is 31414311420353. The next prime is 31414311420451. The reversal of 31414311420400 is 402411341413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2066723415 + ... + 2066738614.

Almost surely, 2^{31414311420400} is an apocalyptic number.

It is an amenable number.

31414311420400 is an abundant number, since it is smaller than the sum of its proper divisors (48030828796200).

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

31414311420400 is a wasteful number, since it uses less digits than its factorization.

31414311420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133462066 (or 4133462055 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 31414311420400 its reverse (402411341413), we get a palindrome (31816722761813).

The spelling of 31414311420400 in words is "thirty-one trillion, four hundred fourteen billion, three hundred eleven million, four hundred twenty thousand, four hundred".