4109505960 has 128 divisors (see below), whose sum is σ = 14259732480. Its totient is φ = 927982848.

The previous prime is 4109505947. The next prime is 4109505971. The reversal of 4109505960 is 695059014.

4109505960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40249 + ... + 99191.

It is an arithmetic number, because the mean of its divisors is an integer number (111404160).

Almost surely, 2^4109505960 is an apocalyptic number.

4109505960 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 4109505960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129866240).

4109505960 is an abundant number, since it is smaller than the sum of its proper divisors (10150226520).

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

4109505960 is a wasteful number, since it uses less digits than its factorization.

4109505960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59047 (or 59043 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 4109505960 is about 64105.4284752859. The cubic root of 4109505960 is about 1601.7566591787.

The spelling of 4109505960 in words is "four billion, one hundred nine million, five hundred five thousand, nine hundred sixty".