4097871653904 has 120 divisors (see below), whose sum is σ = 13107546628800. Its totient is φ = 1170743480064.

The previous prime is 4097871653831. The next prime is 4097871653933. The reversal of 4097871653904 is 4093561787904.

4097871653904 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 87 + 16 + 539 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 16190922 + ... + 16442070.

It is an arithmetic number, because the mean of its divisors is an integer number (109229555240).

Almost surely, 2^{4097871653904} is an apocalyptic number.

It is an amenable number.

4097871653904 is an abundant number, since it is smaller than the sum of its proper divisors (9009674974896).

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

4097871653904 is a wasteful number, since it uses less digits than its factorization.

4097871653904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267357 (or 267348 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4097871653904 in words is "four trillion, ninety-seven billion, eight hundred seventy-one million, six hundred fifty-three thousand, nine hundred four".