4109308416 has 320 divisors, whose sum is σ = 12905840640. Its totient is φ = 1288949760.

The previous prime is 4109308397. The next prime is 4109308417. The reversal of 4109308416 is 6148039014.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4109308417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18427281 + ... + 18427503.

It is an arithmetic number, because the mean of its divisors is an integer number (40330752).

Almost surely, 2^4109308416 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 4109308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6452920320).

4109308416 is an abundant number, since it is smaller than the sum of its proper divisors (8796532224).

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

4109308416 is a wasteful number, since it uses less digits than its factorization.

4109308416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4109308416 is about 64103.8876824175. The cubic root of 4109308416 is about 1601.7309932802.

The spelling of 4109308416 in words is "four billion, one hundred nine million, three hundred eight thousand, four hundred sixteen".