981978042241 has 6 divisors (see below), whose sum is σ = 1142300987970. Its totient is φ = 841695464736.

The previous prime is 981978042211. The next prime is 981978042257. The reversal of 981978042241 is 142240879189.

981978042241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 816003282241 + 165974760000 = 903329^2 + 407400^2 .

It is not a de Polignac number, because 981978042241 - 2¹³ = 981978034049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (981978042211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10020184056 + ... + 10020184153.

It is an arithmetic number, because the mean of its divisors is an integer number (190383497995).

Almost surely, 2^981978042241 is an apocalyptic number.

It is an amenable number.

981978042241 is a deficient number, since it is larger than the sum of its proper divisors (160322945729).

981978042241 is a wasteful number, since it uses less digits than its factorization.

981978042241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20040368223 (or 20040368216 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 981978042241 in words is "nine hundred eighty-one billion, nine hundred seventy-eight million, forty-two thousand, two hundred forty-one".