42288643584 has 240 divisors, whose sum is σ = 133458337584. Its totient is φ = 12784435200.

The previous prime is 42288643567. The next prime is 42288643591. The reversal of 42288643584 is 48534688224.

42288643584 is a `hidden beast` number, since 4 + 2 + 288 + 6 + 4 + 358 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42288643584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31071064 + ... + 31072424.

Almost surely, 2^42288643584 is an apocalyptic number.

42288643584 is a gapful number since it is divisible by the number (44) 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 42288643584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66729168792).

42288643584 is an abundant number, since it is smaller than the sum of its proper divisors (91169694000).

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

42288643584 is a wasteful number, since it uses less digits than its factorization.

42288643584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1990 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 42288643584 in words is "forty-two billion, two hundred eighty-eight million, six hundred forty-three thousand, five hundred eighty-four".