73441482800 has 240 divisors, whose sum is σ = 214661260800. Its totient is φ = 23585126400.

The previous prime is 73441482761. The next prime is 73441482809. The reversal of 73441482800 is 828414437.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73441482809) 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 47 ways as a sum of consecutive naturals, for example, 4727045 + ... + 4742555.

It is an arithmetic number, because the mean of its divisors is an integer number (894421920).

Almost surely, 2^73441482800 is an apocalyptic number.

73441482800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73441482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107330630400).

73441482800 is an abundant number, since it is smaller than the sum of its proper divisors (141219778000).

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

73441482800 is a wasteful number, since it uses less digits than its factorization.

73441482800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15644 (or 15633 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 73441482800 in words is "seventy-three billion, four hundred forty-one million, four hundred eighty-two thousand, eight hundred".