42170184271872 has 960 divisors, whose sum is σ = 135153594576000. Its totient is φ = 13054244290560.

The previous prime is 42170184271837. The next prime is 42170184271907. The reversal of 42170184271872 is 27817248107124.

42170184271872 is a `hidden beast` number, since 4 + 21 + 7 + 0 + 18 + 427 + 187 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42170184271837) and next prime (42170184271907).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91475453722 + ... + 91475454182.

It is an arithmetic number, because the mean of its divisors is an integer number (140784994350).

Almost surely, 2^{42170184271872} 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 42170184271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67576797288000).

42170184271872 is an abundant number, since it is smaller than the sum of its proper divisors (92983410304128).

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

42170184271872 is a wasteful number, since it uses less digits than its factorization.

42170184271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 42170184271872 in words is "forty-two trillion, one hundred seventy billion, one hundred eighty-four million, two hundred seventy-one thousand, eight hundred seventy-two".