4205643328512 has 264 divisors, whose sum is σ = 12219921073152. Its totient is φ = 1393110835200.

The previous prime is 4205643328487. The next prime is 4205643328541. The reversal of 4205643328512 is 2158233465024.

4205643328512 is a `hidden beast` number, since 4 + 2 + 0 + 564 + 3 + 3 + 2 + 85 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1076436063 + ... + 1076439969.

Almost surely, 2^{4205643328512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4205643328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109960536576).

4205643328512 is an abundant number, since it is smaller than the sum of its proper divisors (8014277744640).

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

4205643328512 is a wasteful number, since it uses less digits than its factorization.

4205643328512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 4205643328512 in words is "four trillion, two hundred five billion, six hundred forty-three million, three hundred twenty-eight thousand, five hundred twelve".