4119405984 has 288 divisors, whose sum is σ = 13103161344. Its totient is φ = 1269354240.

The previous prime is 4119405971. The next prime is 4119406021. The reversal of 4119405984 is 4895049114.

It is a happy number.

4119405984 is a `hidden beast` number, since 4 + 1 + 19 + 40 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4119405984² = 33939011322030016512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5543917 + ... + 5544659.

It is an arithmetic number, because the mean of its divisors is an integer number (45497088).

Almost surely, 2^4119405984 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 4119405984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551580672).

4119405984 is an abundant number, since it is smaller than the sum of its proper divisors (8983755360).

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

4119405984 is a wasteful number, since it uses less digits than its factorization.

4119405984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4119405984 is about 64182.5987632162. The cubic root of 4119405984 is about 1603.0418674035.

The spelling of 4119405984 in words is "four billion, one hundred nineteen million, four hundred five thousand, nine hundred eighty-four".