4199412096 has 192 divisors, whose sum is σ = 13240693440. Its totient is φ = 1266969600.

The previous prime is 4199412083. The next prime is 4199412127. The reversal of 4199412096 is 6902149914.

4199412096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4199412096² = 35270123904062226432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 3585591 + ... + 3586761.

It is an arithmetic number, because the mean of its divisors is an integer number (68961945).

Almost surely, 2^4199412096 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 4199412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620346720).

4199412096 is an abundant number, since it is smaller than the sum of its proper divisors (9041281344).

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

4199412096 is a wasteful number, since it uses less digits than its factorization.

4199412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 4199412096 is about 64802.8710475084. The cubic root of 4199412096 is about 1613.3533614677.

The spelling of 4199412096 in words is "four billion, one hundred ninety-nine million, four hundred twelve thousand, ninety-six".