1024640464201 has 8 divisors (see below), whose sum is σ = 1026912819240. Its totient is φ = 1022369943552.

The previous prime is 1024640464193. The next prime is 1024640464213.

1024640464201 is nontrivially palindromic in base 10.

1024640464201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9584214201 + 1015056250000 = 97899^2 + 1007500^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1024640464201 - 2³ = 1024640464193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1024640464271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662821 + ... + 1577533.

It is an arithmetic number, because the mean of its divisors is an integer number (128364102405).

Almost surely, 2^{1024640464201} is an apocalyptic number.

It is an amenable number.

1024640464201 is a deficient number, since it is larger than the sum of its proper divisors (2272355039).

1024640464201 is an equidigital number, since it uses as much as digits as its factorization.

1024640464201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917195.

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 1024640 and 464201, that added together give a palindrome (1488841).

The spelling of 1024640464201 in words is "one trillion, twenty-four billion, six hundred forty million, four hundred sixty-four thousand, two hundred one".