4115721120896 has 512 divisors, whose sum is σ = 10609201152000. Its totient is φ = 1544137297920.

The previous prime is 4115721120877. The next prime is 4115721120923. The reversal of 4115721120896 is 6980211275114.

It is a self number, because there is not a number n which added to its sum of digits gives 4115721120896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17220590345 + ... + 17220590583.

It is an arithmetic number, because the mean of its divisors is an integer number (20721096000).

Almost surely, 2^{4115721120896} 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 4115721120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304600576000).

4115721120896 is an abundant number, since it is smaller than the sum of its proper divisors (6493480031104).

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

4115721120896 is a wasteful number, since it uses less digits than its factorization.

4115721120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 47.

The spelling of 4115721120896 in words is "four trillion, one hundred fifteen billion, seven hundred twenty-one million, one hundred twenty thousand, eight hundred ninety-six".