42265721201 has 24 divisors (see below), whose sum is σ = 46673893224. Its totient is φ = 38244800000.

The previous prime is 42265721167. The next prime is 42265721237. The reversal of 42265721201 is 10212756224.

It can be written as a sum of positive squares in 4 ways, for example, as 17470494976 + 24795226225 = 132176^2 + 157465^2 .

It is not a de Polignac number, because 42265721201 - 2²² = 42261526897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42265721801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39835211 + ... + 39836271.

It is an arithmetic number, because the mean of its divisors is an integer number (1944745551).

Almost surely, 2^42265721201 is an apocalyptic number.

It is an amenable number.

42265721201 is a deficient number, since it is larger than the sum of its proper divisors (4408172023).

42265721201 is a wasteful number, since it uses less digits than its factorization.

42265721201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 42265721201 in words is "forty-two billion, two hundred sixty-five million, seven hundred twenty-one thousand, two hundred one".