42767648121 has 32 divisors (see below), whose sum is σ = 63432419328. Its totient is φ = 25410191040.

The previous prime is 42767648117. The next prime is 42767648177. The reversal of 42767648121 is 12184676724.

It is not a de Polignac number, because 42767648121 - 2² = 42767648117 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (42767688121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2311710 + ... + 2330136.

It is an arithmetic number, because the mean of its divisors is an integer number (1982263104).

Almost surely, 2^42767648121 is an apocalyptic number.

It is an amenable number.

42767648121 is a deficient number, since it is larger than the sum of its proper divisors (20664771207).

42767648121 is a wasteful number, since it uses less digits than its factorization.

42767648121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19821.

The product of its digits is 903168, while the sum is 48.

The spelling of 42767648121 in words is "forty-two billion, seven hundred sixty-seven million, six hundred forty-eight thousand, one hundred twenty-one".