12727257697440 has 1920 divisors, whose sum is σ = 53996892364800. Its totient is φ = 2793940439040.

The previous prime is 12727257697433. The next prime is 12727257697513. The reversal of 12727257697440 is 4479675272721.

It is a happy number.

12727257697440 is a `hidden beast` number, since 1 + 2 + 72 + 72 + 57 + 6 + 9 + 7 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26570475121 + ... + 26570475599.

It is an arithmetic number, because the mean of its divisors is an integer number (28123381440).

Almost surely, 2^{12727257697440} is an apocalyptic number.

12727257697440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12727257697440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998446182400).

12727257697440 is an abundant number, since it is smaller than the sum of its proper divisors (41269634667360).

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

12727257697440 is an equidigital number, since it uses as much as digits as its factorization.

12727257697440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 12727257697440 in words is "twelve trillion, seven hundred twenty-seven billion, two hundred fifty-seven million, six hundred ninety-seven thousand, four hundred forty".