42142663584 has 384 divisors, whose sum is σ = 146068876800. Its totient is φ = 11565711360.

The previous prime is 42142663579. The next prime is 42142663603. The reversal of 42142663584 is 48536624124.

42142663584 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 2 + 6 + 63 + 584 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42268974 + ... + 42269970.

It is an arithmetic number, because the mean of its divisors is an integer number (380387700).

Almost surely, 2^42142663584 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 42142663584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73034438400).

42142663584 is an abundant number, since it is smaller than the sum of its proper divisors (103926213216).

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

42142663584 is a wasteful number, since it uses less digits than its factorization.

42142663584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1279 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 42142663584 in words is "forty-two billion, one hundred forty-two million, six hundred sixty-three thousand, five hundred eighty-four".