42832441600 has 243 divisors, whose sum is σ = 115379238303. Its totient is φ = 15735582720.

The previous prime is 42832441537. The next prime is 42832441607. The reversal of 42832441600 is 614423824.

The square root of 42832441600 is 206960.

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 11040125184 + 31792316416 = 105072^2 + 178304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42832441607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215238301 + ... + 215238499.

Almost surely, 2^42832441600 is an apocalyptic number.

42832441600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42832441600 is the 206960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42832441600

42832441600 is an abundant number, since it is smaller than the sum of its proper divisors (72546796703).

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

42832441600 is an equidigital number, since it uses as much as digits as its factorization.

42832441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 42832441600 in words is "forty-two billion, eight hundred thirty-two million, four hundred forty-one thousand, six hundred".