73441000000 has 147 divisors (see below), whose sum is σ = 182840452581. Its totient is φ = 29268000000.

The previous prime is 73440999997. The next prime is 73441000001. The reversal of 73441000000 is 14437.

It is a happy number.

The square root of 73441000000 is 271000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 64341366336 + 9099633664 = 253656^2 + 95392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73441000001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 270999865 + ... + 271000135.

Almost surely, 2^73441000000 is an apocalyptic number.

73441000000 is the 271000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73441000000

73441000000 is an abundant number, since it is smaller than the sum of its proper divisors (109399452581).

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

73441000000 is an frugal number, since it uses more digits than its factorization.

73441000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

Adding to 73441000000 its reverse (14437), we get a palindrome (73441014437).

The spelling of 73441000000 in words is "seventy-three billion, four hundred forty-one million", and thus it is an aban number.