42141705984 has 324 divisors, whose sum is σ = 144029752776. Its totient is φ = 11811631104.

The previous prime is 42141705961. The next prime is 42141705997. The reversal of 42141705984 is 48950714124.

42141705984 is a `hidden beast` number, since 42 + 1 + 4 + 17 + 0 + 598 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5979967 + ... + 5987009.

It is an arithmetic number, because the mean of its divisors is an integer number (444536274).

Almost surely, 2^42141705984 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 42141705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72014876388).

42141705984 is an abundant number, since it is smaller than the sum of its proper divisors (101888046792).

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

42141705984 is a wasteful number, since it uses less digits than its factorization.

42141705984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132 (or 7108 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 42141705984 in words is "forty-two billion, one hundred forty-one million, seven hundred five thousand, nine hundred eighty-four".