973341840000 has 480 divisors, whose sum is σ = 3290034227040. Its totient is φ = 254831360000.

The previous prime is 973341839993. The next prime is 973341840013. The reversal of 973341840000 is 48143379.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4072559881 + ... + 4072560119.

It is an arithmetic number, because the mean of its divisors is an integer number (6854237973).

Almost surely, 2^973341840000 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 973341840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645017113520).

973341840000 is an abundant number, since it is smaller than the sum of its proper divisors (2316692387040).

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

973341840000 is an frugal number, since it uses more digits than its factorization.

973341840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

Adding to 973341840000 its reverse (48143379), we get a palindrome (973389983379).

The spelling of 973341840000 in words is "nine hundred seventy-three billion, three hundred forty-one million, eight hundred forty thousand".