31944933121040 has 20 divisors (see below), whose sum is σ = 74271969506604. Its totient is φ = 12777973248384.

The previous prime is 31944933121033. The next prime is 31944933121093. The reversal of 31944933121040 is 4012133944913.

It can be written as a sum of positive squares in 2 ways, for example, as 16901208987664 + 15043724133376 = 4111108^2 + 3878624^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 31944933120982 and 31944933121000.

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 3 ways as a sum of consecutive naturals, for example, 199655831927 + ... + 199655832086.

Almost surely, 2^{31944933121040} is an apocalyptic number.

It is an amenable number.

31944933121040 is an abundant number, since it is smaller than the sum of its proper divisors (42327036385564).

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

31944933121040 is a wasteful number, since it uses less digits than its factorization.

31944933121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399311664026 (or 399311664020 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The spelling of 31944933121040 in words is "thirty-one trillion, nine hundred forty-four billion, nine hundred thirty-three million, one hundred twenty-one thousand, forty".