42320718400 has 189 divisors, whose sum is σ = 107801465499. Its totient is φ = 16352271360.

The previous prime is 42320718347. The next prime is 42320718439. The reversal of 42320718400 is 481702324.

The square root of 42320718400 is 205720.

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 4017531456 + 38303186944 = 63384^2 + 195712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 304465531 + ... + 304465669.

Almost surely, 2^42320718400 is an apocalyptic number.

42320718400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42320718400 is the 205720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42320718400

42320718400 is an abundant number, since it is smaller than the sum of its proper divisors (65480747099).

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

42320718400 is an equidigital number, since it uses as much as digits as its factorization.

42320718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 42320718400 in words is "forty-two billion, three hundred twenty million, seven hundred eighteen thousand, four hundred".