9973090320400 has 45 divisors (see below), whose sum is σ = 23960501238583. Its totient is φ = 3989210864000.

The previous prime is 9973090320373. The next prime is 9973090320449. The reversal of 9973090320400 is 40230903799.

The square root of 9973090320400 is 3158020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1195759746064 + 8777330574336 = 1093508^2 + 2962656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63081450 + ... + 63239350.

Almost surely, 2^{9973090320400} is an apocalyptic number.

9973090320400 is the 3158020-th square number.

It is an amenable number.

9973090320400 is an abundant number, since it is smaller than the sum of its proper divisors (13987410918183).

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

9973090320400 is an frugal number, since it uses more digits than its factorization.

9973090320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315820 (or 157908 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 46.

The spelling of 9973090320400 in words is "nine trillion, nine hundred seventy-three billion, ninety million, three hundred twenty thousand, four hundred".