10042781721 has 64 divisors (see below), whose sum is σ = 16882944000. Its totient is φ = 5289375168.

The previous prime is 10042781717. The next prime is 10042781737. The reversal of 10042781721 is 12718724001.

It is not a de Polignac number, because 10042781721 - 2² = 10042781717 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10042781761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716446 + ... + 730328.

It is an arithmetic number, because the mean of its divisors is an integer number (263796000).

Almost surely, 2^10042781721 is an apocalyptic number.

It is an amenable number.

10042781721 is a deficient number, since it is larger than the sum of its proper divisors (6840162279).

10042781721 is a wasteful number, since it uses less digits than its factorization.

10042781721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963 (or 13949 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The spelling of 10042781721 in words is "ten billion, forty-two million, seven hundred eighty-one thousand, seven hundred twenty-one".