42005884608 has 280 divisors, whose sum is σ = 131513244720. Its totient is φ = 13220444160.

The previous prime is 42005884573. The next prime is 42005884663. The reversal of 42005884608 is 80648850024.

42005884608 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 588 + 4 + 60 + 8 = 666.

It is a super-2 number, since 2×42005884608² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41466310 + ... + 41467322.

Almost surely, 2^42005884608 is an apocalyptic number.

42005884608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42005884608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65756622360).

42005884608 is an abundant number, since it is smaller than the sum of its proper divisors (89507360112).

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

42005884608 is a wasteful number, since it uses less digits than its factorization.

42005884608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 42005884608 in words is "forty-two billion, five million, eight hundred eighty-four thousand, six hundred eight".