31406117072 has 80 divisors (see below), whose sum is σ = 67752806400. Its totient is φ = 13982939520.

The previous prime is 31406117063. The next prime is 31406117111. The reversal of 31406117072 is 27071160413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2103329 + ... + 2118207.

It is an arithmetic number, because the mean of its divisors is an integer number (846910080).

Almost surely, 2^31406117072 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 31406117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33876403200).

31406117072 is an abundant number, since it is smaller than the sum of its proper divisors (36346689328).

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

31406117072 is a wasteful number, since it uses less digits than its factorization.

31406117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15144 (or 15138 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

Adding to 31406117072 its reverse (27071160413), we get a palindrome (58477277485).

It can be divided in two parts, 314061 and 17072, that added together give a palindrome (331133).

The spelling of 31406117072 in words is "thirty-one billion, four hundred six million, one hundred seventeen thousand, seventy-two".