12940358647441 has 9 divisors (see below), whose sum is σ = 13371370314939. Its totient is φ = 12522819805200.

The previous prime is 12940358647399. The next prime is 12940358647453. The reversal of 12940358647441 is 14474685304921.

The square root of 12940358647441 is 3597271.

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., 12744393065041 + 195965582400 = 3569929^2 + 442680^2 .

It is not a de Polignac number, because 12940358647441 - 2²⁹ = 12939821776529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12940358647241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111457381 + ... + 111573421.

It is an arithmetic number, because the mean of its divisors is an integer number (1485707812771).

It is a 1-persistent number, because it is pandigital, but 2⋅12940358647441 = 25880717294882 is not.

Almost surely, 2^{12940358647441} is an apocalyptic number.

12940358647441 is the 3597271-st square number.

12940358647441 is the 1798636-th centered octagonal number.

It is an amenable number.

12940358647441 is a deficient number, since it is larger than the sum of its proper divisors (431011667498).

12940358647441 is an frugal number, since it uses more digits than its factorization.

12940358647441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232144 (or 116072 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 12940358647441 in words is "twelve trillion, nine hundred forty billion, three hundred fifty-eight million, six hundred forty-seven thousand, four hundred forty-one".