42284646432 has 270 divisors, whose sum is σ = 144912460077. Its totient is φ = 12060389376.

The previous prime is 42284646413. The next prime is 42284646451. The reversal of 42284646432 is 23464648224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42284646432 is a `hidden beast` number, since 422 + 84 + 64 + 64 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (42284646413) and next prime (42284646451).

It can be written as a sum of positive squares in 2 ways, for example, as 24647744016 + 17636902416 = 156996^2 + 132804^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145404.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 73283328 + ... + 73283904.

Almost surely, 2^42284646432 is an apocalyptic number.

42284646432 is a gapful number since it is divisible by the number (42) 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 42284646432

42284646432 is an abundant number, since it is smaller than the sum of its proper divisors (102627813645).

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

42284646432 is an frugal number, since it uses more digits than its factorization.

42284646432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 589 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The spelling of 42284646432 in words is "forty-two billion, two hundred eighty-four million, six hundred forty-six thousand, four hundred thirty-two".