973271040000 has 1280 divisors, whose sum is σ = 3878430504960. Its totient is φ = 212336640000.

The previous prime is 973271039977. The next prime is 973271040029. The reversal of 973271040000 is 40172379.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13332479964 + ... + 13332480036.

It is an arithmetic number, because the mean of its divisors is an integer number (3030023832).

Almost surely, 2^973271040000 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 973271040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939215252480).

973271040000 is an abundant number, since it is smaller than the sum of its proper divisors (2905159464960).

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

973271040000 is an frugal number, since it uses more digits than its factorization.

973271040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 973271040000 in words is "nine hundred seventy-three billion, two hundred seventy-one million, forty thousand".