4196465440680 has 384 divisors, whose sum is σ = 13303047985920. Its totient is φ = 1058879078400.

The previous prime is 4196465440669. The next prime is 4196465440729. The reversal of 4196465440680 is 860445646914.

4196465440680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4196465440680² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4196465440680.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2621151880 + ... + 2621153480.

It is an arithmetic number, because the mean of its divisors is an integer number (34643354130).

Almost surely, 2^{4196465440680} is an apocalyptic number.

4196465440680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4196465440680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651523992960).

4196465440680 is an abundant number, since it is smaller than the sum of its proper divisors (9106582545240).

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

4196465440680 is a wasteful number, since it uses less digits than its factorization.

4196465440680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 4196465440680 in words is "four trillion, one hundred ninety-six billion, four hundred sixty-five million, four hundred forty thousand, six hundred eighty".