4097633250816 has 1440 divisors, whose sum is σ = 15237392021280. Its totient is φ = 1052010086400.

The previous prime is 4097633250793. The next prime is 4097633250853. The reversal of 4097633250816 is 6180523367904.

4097633250816 is a `hidden beast` number, since 4 + 0 + 97 + 6 + 3 + 32 + 508 + 16 = 666.

4097633250816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14582324596 + ... + 14582324876.

It is an arithmetic number, because the mean of its divisors is an integer number (10581522237).

It is a 1-persistent number, because it is pandigital, but 2⋅4097633250816 = 8195266501632 is not.

Almost surely, 2^{4097633250816} 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 4097633250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618696010640).

4097633250816 is an abundant number, since it is smaller than the sum of its proper divisors (11139758770464).

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

4097633250816 is a wasteful number, since it uses less digits than its factorization.

4097633250816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4097633250816 in words is "four trillion, ninety-seven billion, six hundred thirty-three million, two hundred fifty thousand, eight hundred sixteen".