31727008992042 has 144 divisors (see below), whose sum is σ = 85205076098688. Its totient is φ = 8354298476160.

The previous prime is 31727008992031. The next prime is 31727008992061. The reversal of 31727008992042 is 24029980072713.

It is a happy number.

It is a super-2 number, since 2×31727008992042² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31727008992042.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12255888 + ... + 14617140.

It is an arithmetic number, because the mean of its divisors is an integer number (591701917352).

Almost surely, 2^{31727008992042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31727008992042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42602538049344).

31727008992042 is an abundant number, since it is smaller than the sum of its proper divisors (53478067106646).

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

31727008992042 is a wasteful number, since it uses less digits than its factorization.

31727008992042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361925 (or 2361909 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 31727008992042 in words is "thirty-one trillion, seven hundred twenty-seven billion, eight million, nine hundred ninety-two thousand, forty-two".