974366410000 has 75 divisors (see below), whose sum is σ = 2359277526243. Its totient is φ = 389707080000.

The previous prime is 974366409997. The next prime is 974366410007. The reversal of 974366410000 is 14663479.

The square root of 974366410000 is 987100.

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

It can be written as a sum of positive squares in 2 ways, for example, as 76390326544 + 897976083456 = 276388^2 + 947616^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (974366410007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 98705065 + ... + 98714935.

Almost surely, 2^974366410000 is an apocalyptic number.

974366410000 is the 987100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974366410000

974366410000 is an abundant number, since it is smaller than the sum of its proper divisors (1384911116243).

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

974366410000 is an frugal number, since it uses more digits than its factorization.

974366410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19770 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 974366410000 in words is "nine hundred seventy-four billion, three hundred sixty-six million, four hundred ten thousand".