42170192820 has 432 divisors, whose sum is σ = 154983825360. Its totient is φ = 9243021312.

The previous prime is 42170192819. The next prime is 42170192833. The reversal of 42170192820 is 2829107124.

42170192820 is a `hidden beast` number, since 421 + 70 + 1 + 92 + 82 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 813276324 + 41356916496 = 28518^2 + 203364^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44249464 + ... + 44250416.

It is an arithmetic number, because the mean of its divisors is an integer number (358758855).

Almost surely, 2^42170192820 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 42170192820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77491912680).

42170192820 is an abundant number, since it is smaller than the sum of its proper divisors (112813632540).

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

42170192820 is a wasteful number, since it uses less digits than its factorization.

42170192820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 42170192820 its reverse (2829107124), we get a palindrome (44999299944).

The spelling of 42170192820 in words is "forty-two billion, one hundred seventy million, one hundred ninety-two thousand, eight hundred twenty".