42168622500 has 225 divisors, whose sum is σ = 136898452691. Its totient is φ = 10941048000.

The previous prime is 42168622493. The next prime is 42168622501. The reversal of 42168622500 is 522686124.

It is a happy number.

The square root of 42168622500 is 205350.

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

42168622500 is a `hidden beast` number, since 4 + 21 + 6 + 8 + 622 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27676315044 + 14492307456 = 166362^2 + 120384^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42168622501) 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 74 ways as a sum of consecutive naturals, for example, 1139692482 + ... + 1139692518.

Almost surely, 2^42168622500 is an apocalyptic number.

42168622500 is the 205350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42168622500

42168622500 is an abundant number, since it is smaller than the sum of its proper divisors (94729830191).

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

42168622500 is an frugal number, since it uses more digits than its factorization.

42168622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 42168622500 by its sum of digits (36), we get a 4-th power (1518070410000 = 1110⁴).

42168622500 divided by its sum of digits (36) gives a 4-th power (1171350625 = 185⁴).

The spelling of 42168622500 in words is "forty-two billion, one hundred sixty-eight million, six hundred twenty-two thousand, five hundred".