4640267440384 has 243 divisors, whose sum is σ = 9896564566917. Its totient is φ = 2171361024000.

The previous prime is 4640267440381. The next prime is 4640267440411. The reversal of 4640267440384 is 4830447620464.

The square root of 4640267440384 is 2154128.

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

It can be written as a sum of positive squares in only one way, i.e., 4458314006784 + 181953433600 = 2111472^2 + 426560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4640267440381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45943241934 + ... + 45943242034.

Almost surely, 2^{4640267440384} is an apocalyptic number.

4640267440384 is the 2154128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4640267440384

4640267440384 is an abundant number, since it is smaller than the sum of its proper divisors (5256297126533).

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

4640267440384 is an frugal number, since it uses more digits than its factorization.

4640267440384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 52.

The spelling of 4640267440384 in words is "four trillion, six hundred forty billion, two hundred sixty-seven million, four hundred forty thousand, three hundred eighty-four".