42181765924 has 27 divisors (see below), whose sum is σ = 74616569937. Its totient is φ = 20865168144.

The previous prime is 42181765921. The next prime is 42181765939. The reversal of 42181765924 is 42956718124.

The square root of 42181765924 is 205382.

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., 36309302500 + 5872463424 = 190550^2 + 76632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42181765921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42308194 + ... + 42309190.

Almost surely, 2^42181765924 is an apocalyptic number.

42181765924 is the 205382-nd square number.

It is an amenable number.

42181765924 is a deficient number, since it is larger than the sum of its proper divisors (32434804013).

42181765924 is an frugal number, since it uses more digits than its factorization.

42181765924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 1102 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

Multiplying 42181765924 by its sum of digits (49), we get a square (2066906530276 = 1437674²).

The spelling of 42181765924 in words is "forty-two billion, one hundred eighty-one million, seven hundred sixty-five thousand, nine hundred twenty-four".