640382457121 has 27 divisors (see below), whose sum is σ = 736058754417. Its totient is φ = 556678257960.

The previous prime is 640382457061. The next prime is 640382457181. The reversal of 640382457121 is 121754283046.

The square root of 640382457121 is 800239.

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

It is an interprime number because it is at equal distance from previous prime (640382457061) and next prime (640382457181).

It is not a de Polignac number, because 640382457121 - 2¹⁷ = 640382326049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (640382457181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202458886 + ... + 202462048.

Almost surely, 2^640382457121 is an apocalyptic number.

640382457121 is the 800239-th square number.

640382457121 is the 400120-th centered octagonal number.

It is an amenable number.

640382457121 is a deficient number, since it is larger than the sum of its proper divisors (95676297296).

640382457121 is an frugal number, since it uses more digits than its factorization.

640382457121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 640382457121 in words is "six hundred forty billion, three hundred eighty-two million, four hundred fifty-seven thousand, one hundred twenty-one".