42285564288 has 384 divisors, whose sum is σ = 137869205760. Its totient is φ = 12328243200.

The previous prime is 42285564281. The next prime is 42285564289. The reversal of 42285564288 is 88246558224.

42285564288 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 556 + 4 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42285564281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38687070 + ... + 38688162.

It is an arithmetic number, because the mean of its divisors is an integer number (359034390).

Almost surely, 2^42285564288 is an apocalyptic number.

42285564288 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 42285564288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68934602880).

42285564288 is an abundant number, since it is smaller than the sum of its proper divisors (95583641472).

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

42285564288 is a wasteful number, since it uses less digits than its factorization.

42285564288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1223 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 54.

The spelling of 42285564288 in words is "forty-two billion, two hundred eighty-five million, five hundred sixty-four thousand, two hundred eighty-eight".