127340007957009 has 9 divisors (see below), whose sum is σ = 183935615948539. Its totient is φ = 84893316069000.

The previous prime is 127340007957007. The next prime is 127340007957013. The reversal of 127340007957009 is 900759700043721.

The square root of 127340007957009 is 11284503.

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

127340007957009 is a `hidden beast` number, since 1 + 27 + 3 + 40 + 0 + 0 + 7 + 9 + 570 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21686689668609 + 105653318288400 = 4656897^2 + 10278780^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 127340007957009 - 2¹ = 127340007957007 is a prime.

It is a super-2 number, since 2×127340007957009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127340007957007) 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, 31972759 + ... + 35734259.

Almost surely, 2^{127340007957009} is an apocalyptic number.

127340007957009 is the 11284503-rd square number.

127340007957009 is the 5642252-nd centered octagonal number.

It is an amenable number.

127340007957009 is a deficient number, since it is larger than the sum of its proper divisors (56595607991530).

127340007957009 is an frugal number, since it uses more digits than its factorization.

127340007957009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523008 (or 3761504 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 127340007957009 in words is "one hundred twenty-seven trillion, three hundred forty billion, seven million, nine hundred fifty-seven thousand, nine".