42165456124 has 144 divisors (see below), whose sum is σ = 85794524928. Its totient is φ = 18095616000.

The previous prime is 42165456121. The next prime is 42165456161.

42165456124 is nontrivially palindromic in base 10.

42165456124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42165456121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150054864 + ... + 150055144.

It is an arithmetic number, because the mean of its divisors is an integer number (595795312).

Almost surely, 2^42165456124 is an apocalyptic number.

42165456124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42165456124 is an abundant number, since it is smaller than the sum of its proper divisors (43629068804).

42165456124 is a wasteful number, since it uses less digits than its factorization.

42165456124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 535 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The spelling of 42165456124 in words is "forty-two billion, one hundred sixty-five million, four hundred fifty-six thousand, one hundred twenty-four".