42164098900 has 144 divisors (see below), whose sum is σ = 120077314560. Its totient is φ = 12450326400.

The previous prime is 42164098897. The next prime is 42164098901. The reversal of 42164098900 is 989046124.

It is a super-2 number, since 2×42164098900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42164098901) 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 47 ways as a sum of consecutive naturals, for example, 2199 + ... + 290401.

It is an arithmetic number, because the mean of its divisors is an integer number (833870240).

Almost surely, 2^42164098900 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 42164098900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60038657280).

42164098900 is an abundant number, since it is smaller than the sum of its proper divisors (77913215660).

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

42164098900 is a wasteful number, since it uses less digits than its factorization.

42164098900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288254 (or 288247 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 42164098900 in words is "forty-two billion, one hundred sixty-four million, ninety-eight thousand, nine hundred".