4135209120 has 144 divisors (see below), whose sum is σ = 16127354880. Its totient is φ = 945188352.

The previous prime is 4135209109. The next prime is 4135209167. The reversal of 4135209120 is 219025314.

4135209120 is a `hidden beast` number, since 4 + 13 + 520 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4135209120² = 34199908932262348800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195040 + ... + 215199.

It is an arithmetic number, because the mean of its divisors is an integer number (111995520).

Almost surely, 2^4135209120 is an apocalyptic number.

4135209120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4135209120 is an abundant number, since it is smaller than the sum of its proper divisors (11992145760).

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

4135209120 is a wasteful number, since it uses less digits than its factorization.

4135209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410267 (or 410256 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4135209120 is about 64305.5916697763. The cubic root of 4135209120 is about 1605.0891498505.

The spelling of 4135209120 in words is "four billion, one hundred thirty-five million, two hundred nine thousand, one hundred twenty".