42105975748884 has 96 divisors (see below), whose sum is σ = 110586906214400. Its totient is φ = 13852467214560.

The previous prime is 42105975748883. The next prime is 42105975748961. The reversal of 42105975748884 is 48884757950124.

42105975748884 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 5 + 97 + 57 + 488 + 8 + 4 = 666.

42105975748884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105975748883) 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 31 ways as a sum of consecutive naturals, for example, 21865149 + ... + 23712795.

Almost surely, 2^{42105975748884} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42105975748884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55293453107200).

42105975748884 is an abundant number, since it is smaller than the sum of its proper divisors (68480930465516).

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

42105975748884 is a wasteful number, since it uses less digits than its factorization.

42105975748884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850410 (or 1850402 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 42105975748884 in words is "forty-two trillion, one hundred five billion, nine hundred seventy-five million, seven hundred forty-eight thousand, eight hundred eighty-four".