973038407040 has 896 divisors, whose sum is σ = 4005147928320. Its totient is φ = 221336064000.

The previous prime is 973038407017. The next prime is 973038407053. The reversal of 973038407040 is 40704830379.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 819745327 + ... + 819746513.

It is an arithmetic number, because the mean of its divisors is an integer number (4470031170).

Almost surely, 2^973038407040 is an apocalyptic number.

973038407040 is a gapful number since it is divisible by the number (90) 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 973038407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002573964160).

973038407040 is an abundant number, since it is smaller than the sum of its proper divisors (3032109521280).

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

973038407040 is a wasteful number, since it uses less digits than its factorization.

973038407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 973038407040 in words is "nine hundred seventy-three billion, thirty-eight million, four hundred seven thousand, forty".