73300442240 has 128 divisors (see below), whose sum is σ = 187186846320. Its totient is φ = 27350794240.

The previous prime is 73300442233. The next prime is 73300442249. The reversal of 73300442240 is 4224400337.

It can be written as a sum of positive squares in 8 ways, for example, as 32052457024 + 41247985216 = 179032^2 + 203096^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (73300442249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199630 + ... + 1259250.

Almost surely, 2^73300442240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73300442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93593423160).

73300442240 is an abundant number, since it is smaller than the sum of its proper divisors (113886404080).

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

73300442240 is a wasteful number, since it uses less digits than its factorization.

73300442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59770 (or 59758 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 29.

Adding to 73300442240 its reverse (4224400337), we get a palindrome (77524842577).

The spelling of 73300442240 in words is "seventy-three billion, three hundred million, four hundred forty-two thousand, two hundred forty".