42120173824 has 81 divisors (see below), whose sum is σ = 85590390081. Its totient is φ = 20687385600.

The previous prime is 42120173791. The next prime is 42120173857. The reversal of 42120173824 is 42837102124.

The square root of 42120173824 is 205232.

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

It is an interprime number because it is at equal distance from previous prime (42120173791) and next prime (42120173857).

It can be written as a sum of positive squares in only one way, i.e., 40468564224 + 1651609600 = 201168^2 + 40640^2 .

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 42120173824.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 331654849 + ... + 331654975.

Almost surely, 2^42120173824 is an apocalyptic number.

42120173824 is the 205232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42120173824

42120173824 is an abundant number, since it is smaller than the sum of its proper divisors (43470216257).

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

42120173824 is an frugal number, since it uses more digits than its factorization.

42120173824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

Adding to 42120173824 its reverse (42837102124), we get a palindrome (84957275948).

The spelling of 42120173824 in words is "forty-two billion, one hundred twenty million, one hundred seventy-three thousand, eight hundred twenty-four".