397106268330240 has 648 divisors, whose sum is σ = 1692279665851320. Its totient is φ = 85427901038592.

The previous prime is 397106268330209. The next prime is 397106268330271. The reversal of 397106268330240 is 42033862601793.

397106268330240 is a `hidden beast` number, since 3 + 9 + 7 + 1 + 0 + 6 + 2 + 68 + 330 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (397106268330209) and next prime (397106268330271).

It can be written as a sum of positive squares in 4 ways, for example, as 14476990058496 + 382629278271744 = 3804864^2 + 19560912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11094735 + ... + 30287054.

It is an arithmetic number, because the mean of its divisors is an integer number (2611542694215).

Almost surely, 2^{397106268330240} is an apocalyptic number.

397106268330240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

397106268330240 is an abundant number, since it is smaller than the sum of its proper divisors (1295173397521080).

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

397106268330240 is a wasteful number, since it uses less digits than its factorization.

397106268330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41381847 (or 41381823 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 397106268330240 in words is "three hundred ninety-seven trillion, one hundred six billion, two hundred sixty-eight million, three hundred thirty thousand, two hundred forty".