4119204096 has 432 divisors, whose sum is σ = 14234088960. Its totient is φ = 1121402880.

The previous prime is 4119203987. The next prime is 4119204101. The reversal of 4119204096 is 6904029114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4119204096.

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 47 ways as a sum of consecutive naturals, for example, 52141785 + ... + 52141863.

It is an arithmetic number, because the mean of its divisors is an integer number (32949280).

Almost surely, 2^4119204096 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 4119204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117044480).

4119204096 is an abundant number, since it is smaller than the sum of its proper divisors (10114884864).

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

4119204096 is a wasteful number, since it uses less digits than its factorization.

4119204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4119204096 is about 64181.0259812041. The cubic root of 4119204096 is about 1603.0156791452.

The spelling of 4119204096 in words is "four billion, one hundred nineteen million, two hundred four thousand, ninety-six".