4200466646016 has 297 divisors, whose sum is σ = 12487061371239. Its totient is φ = 1359952478208.

The previous prime is 4200466646009. The next prime is 4200466646039. The reversal of 4200466646016 is 6106466640024.

The square root of 4200466646016 is 2049504.

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 3522017903616 + 678448742400 = 1876704^2 + 823680^2 .

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 26 ways as a sum of consecutive naturals, for example, 7279837920 + ... + 7279838496.

Almost surely, 2^{4200466646016} is an apocalyptic number.

4200466646016 is the 2049504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200466646016

4200466646016 is an abundant number, since it is smaller than the sum of its proper divisors (8286594725223).

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

4200466646016 is an frugal number, since it uses more digits than its factorization.

4200466646016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4200466646016 in words is "four trillion, two hundred billion, four hundred sixty-six million, six hundred forty-six thousand, sixteen".