4119684366336 has 960 divisors, whose sum is σ = 14205170810880. Its totient is φ = 1031012352000.

The previous prime is 4119684366323. The next prime is 4119684366337. The reversal of 4119684366336 is 6336634869114.

It is a self number, because there is not a number n which added to its sum of digits gives 4119684366336.

It is not an unprimeable number, because it can be changed into a prime (4119684366337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21569028001 + ... + 21569028191.

It is an arithmetic number, because the mean of its divisors is an integer number (14797052928).

Almost surely, 2^{4119684366336} 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 4119684366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102585405440).

4119684366336 is an abundant number, since it is smaller than the sum of its proper divisors (10085486444544).

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

4119684366336 is a wasteful number, since it uses less digits than its factorization.

4119684366336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 394 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 60.

The spelling of 4119684366336 in words is "four trillion, one hundred nineteen billion, six hundred eighty-four million, three hundred sixty-six thousand, three hundred thirty-six".