42353197056 has 288 divisors, whose sum is σ = 127696127130. Its totient is φ = 14046068736.

The previous prime is 42353197049. The next prime is 42353197057. The reversal of 42353197056 is 65079135324.

42353197056 is a `hidden beast` number, since 4 + 23 + 531 + 97 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24186470400 + 18166726656 = 155520^2 + 134784^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (42353197057) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 214990750 + ... + 214990946.

Almost surely, 2^42353197056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42353197056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63848063565).

42353197056 is an abundant number, since it is smaller than the sum of its proper divisors (85342930074).

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

42353197056 is an frugal number, since it uses more digits than its factorization.

42353197056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 42353197056 in words is "forty-two billion, three hundred fifty-three million, one hundred ninety-seven thousand, fifty-six".