42307964721 has 81 divisors (see below), whose sum is σ = 70479726681. Its totient is φ = 24435853200.

The previous prime is 42307964701. The next prime is 42307964723. The reversal of 42307964721 is 12746970324.

The square root of 42307964721 is 205689.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 42307964721 - 2⁷ = 42307964593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42307964723) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 156117816 + ... + 156118086.

Almost surely, 2^42307964721 is an apocalyptic number.

42307964721 is the 205689-th square number.

42307964721 is the 102845-th centered octagonal number.

It is an amenable number.

42307964721 is a deficient number, since it is larger than the sum of its proper divisors (28171761960).

42307964721 is a wasteful number, since it uses less digits than its factorization.

42307964721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 42307964721 in words is "forty-two billion, three hundred seven million, nine hundred sixty-four thousand, seven hundred twenty-one".