12040261528464 has 675 divisors, whose sum is σ = 38457714738053. Its totient is φ = 3516321489408.

The previous prime is 12040261528429. The next prime is 12040261528469. The reversal of 12040261528464 is 46482516204021.

The square root of 12040261528464 is 3469908.

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

12040261528464 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 0 + 2 + 61 + 528 + 4 + 64 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 12030436754064 + 9824774400 = 3468492^2 + 99120^2 .

It is not an unprimeable number, because it can be changed into a prime (12040261528469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 204072229267 + ... + 204072229325.

Almost surely, 2^{12040261528464} is an apocalyptic number.

12040261528464 is the 3469908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12040261528464

12040261528464 is an abundant number, since it is smaller than the sum of its proper divisors (26417453209589).

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

12040261528464 is an frugal number, since it uses more digits than its factorization.

12040261528464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 12040261528464 in words is "twelve trillion, forty billion, two hundred sixty-one million, five hundred twenty-eight thousand, four hundred sixty-four".