42112244631006 has 48 divisors (see below), whose sum is σ = 102748937061888. Its totient is φ = 12349631854800.

The previous prime is 42112244631001. The next prime is 42112244631077. The reversal of 42112244631006 is 60013644221124.

42112244631006 is a `hidden beast` number, since 4 + 2 + 1 + 12 + 2 + 4 + 4 + 631 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×42112244631006² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42112244631001) 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, 3430447156 + ... + 3430459431.

It is an arithmetic number, because the mean of its divisors is an integer number (2140602855456).

Almost surely, 2^{42112244631006} is an apocalyptic number.

42112244631006 is an abundant number, since it is smaller than the sum of its proper divisors (60636692430882).

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

42112244631006 is a wasteful number, since it uses less digits than its factorization.

42112244631006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860906637 (or 6860906634 counting only the distinct ones).

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

The spelling of 42112244631006 in words is "forty-two trillion, one hundred twelve billion, two hundred forty-four million, six hundred thirty-one thousand, six".