4119991344 has 360 divisors, whose sum is σ = 14703277680. Its totient is φ = 1097542656.

The previous prime is 4119991333. The next prime is 4119991349. The reversal of 4119991344 is 4431999114.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4119991344.

It is not an unprimeable number, because it can be changed into a prime (4119991349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38504539 + ... + 38504645.

It is an arithmetic number, because the mean of its divisors is an integer number (40842438).

Almost surely, 2^4119991344 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 4119991344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351638840).

4119991344 is an abundant number, since it is smaller than the sum of its proper divisors (10583286336).

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

4119991344 is a wasteful number, since it uses less digits than its factorization.

4119991344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 136 counting only the distinct ones).

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

The square root of 4119991344 is about 64187.1587157431. The cubic root of 4119991344 is about 1603.1177935725.

The spelling of 4119991344 in words is "four billion, one hundred nineteen million, nine hundred ninety-one thousand, three hundred forty-four".