3959008464960 has 168 divisors, whose sum is σ = 14418359683416. Its totient is φ = 993633484800.

The previous prime is 3959008464953. The next prime is 3959008464989. The reversal of 3959008464960 is 694648009593.

3959008464960 is a `hidden beast` number, since 39 + 59 + 0 + 0 + 8 + 464 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135700877376 + 3823307587584 = 368376^2 + 1955328^2 .

It is a super-3 number, since 3×3959008464960³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40382091 + ... + 40480010.

Almost surely, 2^{3959008464960} is an apocalyptic number.

3959008464960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3959008464960 is an abundant number, since it is smaller than the sum of its proper divisors (10459351218456).

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

3959008464960 is a wasteful number, since it uses less digits than its factorization.

3959008464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80862141 (or 80862128 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 3959008464960 in words is "three trillion, nine hundred fifty-nine billion, eight million, four hundred sixty-four thousand, nine hundred sixty".