396109944105121 has 7 divisors (see below), whose sum is σ = 397577017972177. Its totient is φ = 394648283794770.

The previous prime is 396109944105061. The next prime is 396109944105193. The reversal of 396109944105121 is 121501449901693.

The square root of 396109944105121 is 19902511.

The cubic root of 396109944105121 is 73441.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is not a de Polignac number, because 396109944105121 - 2⁷ = 396109944104993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (396109944105221) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 1461660310216 + ... + 1461660310486.

Almost surely, 2^{396109944105121} is an apocalyptic number.

396109944105121 is the 19902511-st square number.

396109944105121 is the 9951256-th centered octagonal number.

It is an amenable number.

396109944105121 is a deficient number, since it is larger than the sum of its proper divisors (1467073867056).

396109944105121 is an frugal number, since it uses more digits than its factorization.

396109944105121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 396109944105121 in words is "three hundred ninety-six trillion, one hundred nine billion, nine hundred forty-four million, one hundred five thousand, one hundred twenty-one".