42662624112 has 60 divisors (see below), whose sum is σ = 119459278224. Its totient is φ = 14213349120.

The previous prime is 42662624071. The next prime is 42662624113. The reversal of 42662624112 is 21142626624.

42662624112 is a `hidden beast` number, since 4 + 2 + 6 + 626 + 24 + 1 + 1 + 2 = 666.

It is a super-4 number, since 4×42662624112⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42662624113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198037 + ... + 352907.

Almost surely, 2^42662624112 is an apocalyptic number.

It is an amenable number.

42662624112 is an abundant number, since it is smaller than the sum of its proper divisors (76796654112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42662624112 is a wasteful number, since it uses less digits than its factorization.

42662624112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156798 (or 156789 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 42662624112 in words is "forty-two billion, six hundred sixty-two million, six hundred twenty-four thousand, one hundred twelve".