4196560896 has 312 divisors, whose sum is σ = 13493525760. Its totient is φ = 1246003200.

The previous prime is 4196560889. The next prime is 4196560919. The reversal of 4196560896 is 6980656914.

It is a happy number.

It is a super-2 number, since 2×4196560896² = 35222246707672645632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32034751 + ... + 32034881.

It is an arithmetic number, because the mean of its divisors is an integer number (43248480).

Almost surely, 2^4196560896 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 4196560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746762880).

4196560896 is an abundant number, since it is smaller than the sum of its proper divisors (9296964864).

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

4196560896 is a wasteful number, since it uses less digits than its factorization.

4196560896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4196560896 is about 64780.8682868638. The cubic root of 4196560896 is about 1612.9881488736.

The spelling of 4196560896 in words is "four billion, one hundred ninety-six million, five hundred sixty thousand, eight hundred ninety-six".