42679428100 has 81 divisors (see below), whose sum is σ = 94233404223. Its totient is φ = 16778413440.

The previous prime is 42679428059. The next prime is 42679428119. The reversal of 42679428100 is 182497624.

The square root of 42679428100 is 206590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 233539524 + 42445888576 = 15282^2 + 206024^2 .

It is a super-2 number, since 2×42679428100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 150810559 + ... + 150810841.

Almost surely, 2^42679428100 is an apocalyptic number.

42679428100 is the 206590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42679428100

42679428100 is an abundant number, since it is smaller than the sum of its proper divisors (51553976123).

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

42679428100 is an equidigital number, since it uses as much as digits as its factorization.

42679428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 42679428100 in words is "forty-two billion, six hundred seventy-nine million, four hundred twenty-eight thousand, one hundred".