415688378121 has 9 divisors (see below), whose sum is σ = 600441562279. Its totient is φ = 277124295936.

The previous prime is 415688378111. The next prime is 415688378137. The reversal of 415688378121 is 121873886514.

The square root of 415688378121 is 644739.

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

415688378121 is a `hidden beast` number, since 4 + 1 + 568 + 8 + 3 + 78 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 337659777225 + 78028600896 = 581085^2 + 279336^2 .

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

It is not a de Polignac number, because 415688378121 - 2⁹ = 415688377609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415688378101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1826761 + ... + 2041673.

Almost surely, 2^415688378121 is an apocalyptic number.

415688378121 is the 644739-th square number.

415688378121 is the 322370-th centered octagonal number.

It is an amenable number.

415688378121 is a deficient number, since it is larger than the sum of its proper divisors (184753184158).

415688378121 is an frugal number, since it uses more digits than its factorization.

415688378121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429832 (or 214916 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 415688378121 in words is "four hundred fifteen billion, six hundred eighty-eight million, three hundred seventy-eight thousand, one hundred twenty-one".