4194696960 has 216 divisors, whose sum is σ = 15367650480. Its totient is φ = 1052737536.

The previous prime is 4194696923. The next prime is 4194696983. The reversal of 4194696960 is 696964914.

4194696960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 4194696897 and 4194696906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185131 + ... + 206549.

It is an arithmetic number, because the mean of its divisors is an integer number (71146530).

Almost surely, 2^4194696960 is an apocalyptic number.

4194696960 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 4194696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683825240).

4194696960 is an abundant number, since it is smaller than the sum of its proper divisors (11172953520).

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

4194696960 is a wasteful number, since it uses less digits than its factorization.

4194696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21463 (or 21446 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 4194696960 is about 64766.4802193233. The cubic root of 4194696960 is about 1612.7493063242.

The spelling of 4194696960 in words is "four billion, one hundred ninety-four million, six hundred ninety-six thousand, nine hundred sixty".