4109359672320 has 704 divisors, whose sum is σ = 15727311267840. Its totient is φ = 895404736512.

The previous prime is 4109359672289. The next prime is 4109359672349. The reversal of 4109359672320 is 232769539014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 774033826 + ... + 774039134.

Almost surely, 2^{4109359672320} is an apocalyptic number.

4109359672320 is a gapful number since it is divisible by the number (40) 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 4109359672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863655633920).

4109359672320 is an abundant number, since it is smaller than the sum of its proper divisors (11617951595520).

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

4109359672320 is a wasteful number, since it uses less digits than its factorization.

4109359672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 4109359672320 in words is "four trillion, one hundred nine billion, three hundred fifty-nine million, six hundred seventy-two thousand, three hundred twenty".