31940666009280 has 1008 divisors, whose sum is σ = 128484287100000. Its totient is φ = 7261724639232.

The previous prime is 31940666009279. The next prime is 31940666009297. The reversal of 31940666009280 is 8290066604913.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×31940666009280² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 28801321366 + ... + 28801322474.

Almost surely, 2^{31940666009280} is an apocalyptic number.

31940666009280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31940666009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64242143550000).

31940666009280 is an abundant number, since it is smaller than the sum of its proper divisors (96543621090720).

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

31940666009280 is a wasteful number, since it uses less digits than its factorization.

31940666009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 31940666009280 in words is "thirty-one trillion, nine hundred forty billion, six hundred sixty-six million, nine thousand, two hundred eighty".