4111909396848 has 960 divisors, whose sum is σ = 14417797201920. Its totient is φ = 1115845632000.

The previous prime is 4111909396841. The next prime is 4111909396871. The reversal of 4111909396848 is 8486939091114.

4111909396848 is a `hidden beast` number, since 4 + 11 + 190 + 9 + 396 + 8 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111909396841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1680386761 + ... + 1680389207.

It is an arithmetic number, because the mean of its divisors is an integer number (15018538752).

Almost surely, 2^{4111909396848} is an apocalyptic number.

4111909396848 is a gapful number since it is divisible by the number (48) 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 4111909396848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208898600960).

4111909396848 is an abundant number, since it is smaller than the sum of its proper divisors (10305887805072).

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

4111909396848 is a wasteful number, since it uses less digits than its factorization.

4111909396848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 4111909396848 in words is "four trillion, one hundred eleven billion, nine hundred nine million, three hundred ninety-six thousand, eight hundred forty-eight".