4640340430464 has 64 divisors (see below), whose sum is σ = 13050957479040. Its totient is φ = 1455793074176.

The previous prime is 4640340430459. The next prime is 4640340430469.

4640340430464 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4640340430459) and next prime (4640340430469).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4640340430469) 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, 355411704 + ... + 355424759.

It is an arithmetic number, because the mean of its divisors is an integer number (203921210610).

Almost surely, 2^{4640340430464} is an apocalyptic number.

It is an amenable number.

4640340430464 is an abundant number, since it is smaller than the sum of its proper divisors (8410617048576).

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

4640340430464 is a wasteful number, since it uses less digits than its factorization.

4640340430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710836497 (or 710836485 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 4640340430464 in words is "four trillion, six hundred forty billion, three hundred forty million, four hundred thirty thousand, four hundred sixty-four".