42584449600 has 567 divisors, whose sum is σ = 136010031129. Its totient is φ = 13074969600.

The previous prime is 42584449577. The next prime is 42584449603. The reversal of 42584449600 is 694448524.

The square root of 42584449600 is 206360.

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., 15330401856 + 27254047744 = 123816^2 + 165088^2 .

It is not an unprimeable number, because it can be changed into a prime (42584449603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 635588767 + ... + 635588833.

Almost surely, 2^42584449600 is an apocalyptic number.

42584449600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42584449600 is the 206360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42584449600

42584449600 is an abundant number, since it is smaller than the sum of its proper divisors (93425581529).

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

42584449600 is a wasteful number, since it uses less digits than its factorization.

42584449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 42584449600 in words is "forty-two billion, five hundred eighty-four million, four hundred forty-nine thousand, six hundred".