42067124172 has 120 divisors (see below), whose sum is σ = 118638517536. Its totient is φ = 12948429312.

The previous prime is 42067124153. The next prime is 42067124191. The reversal of 42067124172 is 27142176024.

42067124172 is a `hidden beast` number, since 420 + 67 + 1 + 2 + 4 + 172 = 666.

It is an interprime number because it is at equal distance from previous prime (42067124153) and next prime (42067124191).

It is a super-3 number, since 3×42067124172³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219873 + ... + 363975.

Almost surely, 2^42067124172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42067124172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59319258768).

42067124172 is an abundant number, since it is smaller than the sum of its proper divisors (76571393364).

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

42067124172 is a wasteful number, since it uses less digits than its factorization.

42067124172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144189 (or 144178 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 42067124172 in words is "forty-two billion, sixty-seven million, one hundred twenty-four thousand, one hundred seventy-two".