42221208484 has 81 divisors (see below), whose sum is σ = 93152971107. Its totient is φ = 16688101248.

The previous prime is 42221208481. The next prime is 42221208509. The reversal of 42221208484 is 48480212224.

It is a happy number.

The square root of 42221208484 is 205478.

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 25093728100 + 17127480384 = 158410^2 + 130872^2 .

It is not an unprimeable number, because it can be changed into a prime (42221208481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37396432 + ... + 37397560.

Almost surely, 2^42221208484 is an apocalyptic number.

42221208484 is the 205478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42221208484

42221208484 is an abundant number, since it is smaller than the sum of its proper divisors (50931762623).

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

42221208484 is a wasteful number, since it uses less digits than its factorization.

42221208484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 37.

The spelling of 42221208484 in words is "forty-two billion, two hundred twenty-one million, two hundred eight thousand, four hundred eighty-four".