4109948304 has 240 divisors, whose sum is σ = 13680481536. Its totient is φ = 1051142400.

The previous prime is 4109948263. The next prime is 4109948309. The reversal of 4109948304 is 4038499014.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4109948309) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1732239 + ... + 1734609.

Almost surely, 2^4109948304 is an apocalyptic number.

4109948304 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 4109948304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840240768).

4109948304 is an abundant number, since it is smaller than the sum of its proper divisors (9570533232).

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

4109948304 is a wasteful number, since it uses less digits than its factorization.

4109948304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4109948304 is about 64108.8785114823. The cubic root of 4109948304 is about 1601.8141277271.

The spelling of 4109948304 in words is "four billion, one hundred nine million, nine hundred forty-eight thousand, three hundred four".