4097860816896 has 832 divisors, whose sum is σ = 16026911631360. Its totient is φ = 1001733488640.

The previous prime is 4097860816877. The next prime is 4097860816901. The reversal of 4097860816896 is 6986180687904.

4097860816896 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 8 + 608 + 1 + 6 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 144750775 + ... + 144779081.

Almost surely, 2^{4097860816896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097860816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013455815680).

4097860816896 is an abundant number, since it is smaller than the sum of its proper divisors (11929050814464).

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

4097860816896 is a wasteful number, since it uses less digits than its factorization.

4097860816896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28375 (or 28347 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 4097860816896 in words is "four trillion, ninety-seven billion, eight hundred sixty million, eight hundred sixteen thousand, eight hundred ninety-six".