42302684160 has 792 divisors, whose sum is σ = 167676123888. Its totient is φ = 10218700800.

The previous prime is 42302684153. The next prime is 42302684161. The reversal of 42302684160 is 6148620324.

42302684160 is a `hidden beast` number, since 4 + 230 + 2 + 6 + 8 + 416 + 0 = 666.

42302684160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42302684161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150543220 + ... + 150543500.

Almost surely, 2^42302684160 is an apocalyptic number.

42302684160 is a gapful number since it is divisible by the number (40) 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 42302684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83838061944).

42302684160 is an abundant number, since it is smaller than the sum of its proper divisors (125373439728).

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

42302684160 is a wasteful number, since it uses less digits than its factorization.

42302684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 42302684160 in words is "forty-two billion, three hundred two million, six hundred eighty-four thousand, one hundred sixty".