1470961460224 has 99 divisors (see below), whose sum is σ = 2971928985123. Its totient is φ = 727699200000.

The previous prime is 1470961460209. The next prime is 1470961460261. The reversal of 1470961460224 is 4220641690741.

The square root of 1470961460224 is 1212832.

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

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, 5860404099 + ... + 5860404349.

Almost surely, 2^{1470961460224} is an apocalyptic number.

1470961460224 is the 1212832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1470961460224

1470961460224 is an abundant number, since it is smaller than the sum of its proper divisors (1500967524899).

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

1470961460224 is an frugal number, since it uses more digits than its factorization.

1470961460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 1470961460224 in words is "one trillion, four hundred seventy billion, nine hundred sixty-one million, four hundred sixty thousand, two hundred twenty-four".