42114542120 has 128 divisors (see below), whose sum is σ = 108933120000. Its totient is φ = 14354447616.

The previous prime is 42114542117. The next prime is 42114542143. The reversal of 42114542120 is 2124541124.

It is a super-4 number, since 4×42114542120⁴ (a number of 44 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42114542120.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53512367 + ... + 53513153.

It is an arithmetic number, because the mean of its divisors is an integer number (851040000).

Almost surely, 2^42114542120 is an apocalyptic number.

42114542120 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 42114542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54466560000).

42114542120 is an abundant number, since it is smaller than the sum of its proper divisors (66818577880).

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

42114542120 is a wasteful number, since it uses less digits than its factorization.

42114542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The spelling of 42114542120 in words is "forty-two billion, one hundred fourteen million, five hundred forty-two thousand, one hundred twenty".