42189160000 has 315 divisors, whose sum is σ = 114733867941. Its totient is φ = 15380352000.

The previous prime is 42189159997. The next prime is 42189160019. The reversal of 42189160000 is 6198124.

It is a happy number.

The square root of 42189160000 is 205400.

It is a perfect power (a square), and thus also a powerful number.

42189160000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 41671506496 + 517653504 = 204136^2 + 22752^2 .

It is a Duffinian number.

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, 534039961 + ... + 534040039.

Almost surely, 2^42189160000 is an apocalyptic number.

42189160000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42189160000 is the 205400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42189160000

42189160000 is an abundant number, since it is smaller than the sum of its proper divisors (72544707941).

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

42189160000 is an frugal number, since it uses more digits than its factorization.

42189160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 42189160000 in words is "forty-two billion, one hundred eighty-nine million, one hundred sixty thousand".