12764040401728 has 448 divisors, whose sum is σ = 35548459020288. Its totient is φ = 4392467988480.

The previous prime is 12764040401683. The next prime is 12764040401737. The reversal of 12764040401728 is 82710404046721.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102060451 + ... + 102185437.

Almost surely, 2^{12764040401728} 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 12764040401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17774229510144).

12764040401728 is an abundant number, since it is smaller than the sum of its proper divisors (22784418618560).

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

12764040401728 is a wasteful number, since it uses less digits than its factorization.

12764040401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125110 (or 125100 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The spelling of 12764040401728 in words is "twelve trillion, seven hundred sixty-four billion, forty million, four hundred one thousand, seven hundred twenty-eight".