31444340413312 has 64 divisors (see below), whose sum is σ = 67945659546240. Its totient is φ = 14436425973760.

The previous prime is 31444340413249. The next prime is 31444340413357. The reversal of 31444340413312 is 21331404344413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176136688 + ... + 176315119.

It is an arithmetic number, because the mean of its divisors is an integer number (1061650930410).

Almost surely, 2^{31444340413312} is an apocalyptic number.

31444340413312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31444340413312 is an abundant number, since it is smaller than the sum of its proper divisors (36501319132928).

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

31444340413312 is a wasteful number, since it uses less digits than its factorization.

31444340413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352451879 (or 352451867 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 31444340413312 its reverse (21331404344413), we get a palindrome (52775744757725).

The spelling of 31444340413312 in words is "thirty-one trillion, four hundred forty-four billion, three hundred forty million, four hundred thirteen thousand, three hundred twelve".