4119366839616 has 672 divisors, whose sum is σ = 14849661415680. Its totient is φ = 1105299800064.

The previous prime is 4119366839579. The next prime is 4119366839617. The reversal of 4119366839616 is 6169386639114.

4119366839616 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 3 + 6 + 6 + 8 + 3 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4119366839617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 941998006 + ... + 942002378.

It is an arithmetic number, because the mean of its divisors is an integer number (22097710440).

Almost surely, 2^{4119366839616} 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 4119366839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424830707840).

4119366839616 is an abundant number, since it is smaller than the sum of its proper divisors (10730294576064).

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

4119366839616 is a wasteful number, since it uses less digits than its factorization.

4119366839616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4911 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 4119366839616 in words is "four trillion, one hundred nineteen billion, three hundred sixty-six million, eight hundred thirty-nine thousand, six hundred sixteen".