42161916960 has 192 divisors, whose sum is σ = 147856786560. Its totient is φ = 11221079040.

The previous prime is 42161916941. The next prime is 42161916977. The reversal of 42161916960 is 6961916124.

It is a happy number.

42161916960 is a `hidden beast` number, since 4 + 21 + 619 + 1 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2250030 + ... + 2268690.

It is an arithmetic number, because the mean of its divisors is an integer number (770087430).

Almost surely, 2^42161916960 is an apocalyptic number.

42161916960 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 42161916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73928393280).

42161916960 is an abundant number, since it is smaller than the sum of its proper divisors (105694869600).

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

42161916960 is a wasteful number, since it uses less digits than its factorization.

42161916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19208 (or 19194 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 42161916960 in words is "forty-two billion, one hundred sixty-one million, nine hundred sixteen thousand, nine hundred sixty".