42261136821 has 72 divisors (see below), whose sum is σ = 65617344000. Its totient is φ = 26201807424.

The previous prime is 42261136807. The next prime is 42261136889. The reversal of 42261136821 is 12863116224.

It is a happy number.

42261136821 is a `hidden beast` number, since 4 + 2 + 2 + 611 + 36 + 8 + 2 + 1 = 666.

It is not a de Polignac number, because 42261136821 - 2⁷ = 42261136693 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42261136121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58777300 + ... + 58778018.

It is an arithmetic number, because the mean of its divisors is an integer number (911352000).

Almost surely, 2^42261136821 is an apocalyptic number.

It is an amenable number.

42261136821 is a deficient number, since it is larger than the sum of its proper divisors (23356207179).

42261136821 is a wasteful number, since it uses less digits than its factorization.

42261136821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1049 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 42261136821 in words is "forty-two billion, two hundred sixty-one million, one hundred thirty-six thousand, eight hundred twenty-one".