12440657664 has 432 divisors, whose sum is σ = 40702989600. Its totient is φ = 3630956544.

The previous prime is 12440657629. The next prime is 12440657687. The reversal of 12440657664 is 46675604421.

12440657664 is a `hidden beast` number, since 12 + 4 + 4 + 0 + 6 + 576 + 64 = 666.

It is a super-2 number, since 2×12440657664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54325902 + ... + 54326130.

Almost surely, 2^12440657664 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 12440657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20351494800).

12440657664 is an abundant number, since it is smaller than the sum of its proper divisors (28262331936).

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

12440657664 is a wasteful number, since it uses less digits than its factorization.

12440657664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 12440657664 in words is "twelve billion, four hundred forty million, six hundred fifty-seven thousand, six hundred sixty-four".