42170000490 has 160 divisors (see below), whose sum is σ = 119519928000. Its totient is φ = 10639060992.

The previous prime is 42170000479. The next prime is 42170000549. The reversal of 42170000490 is 9400007124.

It is a happy number.

42170000490 is a `hidden beast` number, since 4 + 2 + 170 + 0 + 0 + 0 + 490 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15681066 + ... + 15683754.

It is an arithmetic number, because the mean of its divisors is an integer number (746999550).

Almost surely, 2^42170000490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42170000490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59759964000).

42170000490 is an abundant number, since it is smaller than the sum of its proper divisors (77349927510).

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

42170000490 is a wasteful number, since it uses less digits than its factorization.

42170000490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 42170000490 in words is "forty-two billion, one hundred seventy million, four hundred ninety", and thus it is an aban number.