73841040000 has 1920 divisors, whose sum is σ = 347963616000. Its totient is φ = 14902272000.

The previous prime is 73841039983. The next prime is 73841040001. The reversal of 73841040000 is 4014837.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (73841040001) 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 239 ways as a sum of consecutive naturals, for example, 3210479989 + ... + 3210480011.

It is an arithmetic number, because the mean of its divisors is an integer number (181231050).

Almost surely, 2^73841040000 is an apocalyptic number.

73841040000 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 73841040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173981808000).

73841040000 is an abundant number, since it is smaller than the sum of its proper divisors (274122576000).

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

73841040000 is a wasteful number, since it uses less digits than its factorization.

73841040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 73841040000 its reverse (4014837), we get a palindrome (73845054837).

The spelling of 73841040000 in words is "seventy-three billion, eight hundred forty-one million, forty thousand".