4114020443104 has 192 divisors, whose sum is σ = 9937654594560. Its totient is φ = 1649703813120.

The previous prime is 4114020443087. The next prime is 4114020443207. The reversal of 4114020443104 is 4013440204114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128070757 + ... + 128102875.

It is an arithmetic number, because the mean of its divisors is an integer number (51758617680).

Almost surely, 2^{4114020443104} is an apocalyptic number.

4114020443104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114020443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968827297280).

4114020443104 is an abundant number, since it is smaller than the sum of its proper divisors (5823634151456).

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

4114020443104 is a wasteful number, since it uses less digits than its factorization.

4114020443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33393 (or 33385 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4114020443104 its reverse (4013440204114), we get a palindrome (8127460647218).

The spelling of 4114020443104 in words is "four trillion, one hundred fourteen billion, twenty million, four hundred forty-three thousand, one hundred four".