42161114120 has 64 divisors (see below), whose sum is σ = 96584028480. Its totient is φ = 16559997696.

The previous prime is 42161114113. The next prime is 42161114123. The reversal of 42161114120 is 2141116124.

It is not an unprimeable number, because it can be changed into a prime (42161114123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824747 + ... + 874373.

It is an arithmetic number, because the mean of its divisors is an integer number (1509125445).

Almost surely, 2^42161114120 is an apocalyptic number.

42161114120 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 42161114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48292014240).

42161114120 is an abundant number, since it is smaller than the sum of its proper divisors (54422914360).

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

42161114120 is a wasteful number, since it uses less digits than its factorization.

42161114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50022 (or 50018 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 42161114120 in words is "forty-two billion, one hundred sixty-one million, one hundred fourteen thousand, one hundred twenty".