4109029680 has 320 divisors, whose sum is σ = 15477580800. Its totient is φ = 880865280.

The previous prime is 4109029651. The next prime is 4109029747. The reversal of 4109029680 is 869209014.

4109029680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4109029680² = 33768249822241804800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3478690 + ... + 3479870.

It is an arithmetic number, because the mean of its divisors is an integer number (48367440).

Almost surely, 2^4109029680 is an apocalyptic number.

4109029680 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 4109029680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738790400).

4109029680 is an abundant number, since it is smaller than the sum of its proper divisors (11368551120).

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

4109029680 is a wasteful number, since it uses less digits than its factorization.

4109029680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 4109029680 is about 64101.7135496392. The cubic root of 4109029680 is about 1601.6947771144.

The spelling of 4109029680 in words is "four billion, one hundred nine million, twenty-nine thousand, six hundred eighty".