42167801104 has 135 divisors (see below), whose sum is σ = 97513497669. Its totient is φ = 17643500160.

The previous prime is 42167801083. The next prime is 42167801167. The reversal of 42167801104 is 40110876124.

It is a happy number.

The square root of 42167801104 is 205348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6237840400 + 35929960704 = 78980^2 + 189552^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42167801104.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117458877 + ... + 117459235.

Almost surely, 2^42167801104 is an apocalyptic number.

42167801104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42167801104 is the 205348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42167801104

42167801104 is an abundant number, since it is smaller than the sum of its proper divisors (55345696565).

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

42167801104 is a wasteful number, since it uses less digits than its factorization.

42167801104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 42167801104 in words is "forty-two billion, one hundred sixty-seven million, eight hundred one thousand, one hundred four".