12040351746241 has 81 divisors (see below), whose sum is σ = 16118199739881. Its totient is φ = 8962056440064.

The previous prime is 12040351746229. The next prime is 12040351746259. The reversal of 12040351746241 is 14264715304021.

The square root of 12040351746241 is 3469921.

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

12040351746241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108715937841 + 11931635808400 = 329721^2 + 3454220^2 .

It is not a de Polignac number, because 12040351746241 - 2¹⁵ = 12040351713473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12040351746194 and 12040351746203.

It is not an unprimeable number, because it can be changed into a prime (12040351746221) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5367966666 + ... + 5367968908.

Almost surely, 2^{12040351746241} is an apocalyptic number.

12040351746241 is the 3469921-st square number.

12040351746241 is the 1734961-st centered octagonal number.

It is an amenable number.

12040351746241 is a deficient number, since it is larger than the sum of its proper divisors (4077847993640).

12040351746241 is an frugal number, since it uses more digits than its factorization.

12040351746241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 12040351746241 in words is "twelve trillion, forty billion, three hundred fifty-one million, seven hundred forty-six thousand, two hundred forty-one".