4097966140464 has 640 divisors, whose sum is σ = 13425083596800. Its totient is φ = 1050287800320.

The previous prime is 4097966140459. The next prime is 4097966140501. The reversal of 4097966140464 is 4640416697904.

It is a junction number, because it is equal to n+sod(n) for n = 4097966140398 and 4097966140407.

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 127 ways as a sum of consecutive naturals, for example, 7202049172 + ... + 7202049740.

It is an arithmetic number, because the mean of its divisors is an integer number (20976693120).

Almost surely, 2^{4097966140464} 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 4097966140464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712541798400).

4097966140464 is an abundant number, since it is smaller than the sum of its proper divisors (9327117456336).

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

4097966140464 is a wasteful number, since it uses less digits than its factorization.

4097966140464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 4097966140464 in words is "four trillion, ninety-seven billion, nine hundred sixty-six million, one hundred forty thousand, four hundred sixty-four".